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Finding the Fourth Proportional to 547.50, 821.32 and 182.32

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Solution

The fourth proportional to 547.50, 821.32 and 182.32 is: 273.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.50 : 821.32 = 182.32 : x
  2. Step 2: Convert to fraction form
    547.50/821.32 = 182.32/x
  3. Step 3: Cross multiply
    547.50x = 821.32 × 182.32
  4. Step 4: Simplify right side
    547.50x = 149,740.55
  5. Step 5: Solve for x
    x = 149,740.55/547.50
  6. Step 6: Final answer
    x = 273.50

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.