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Finding the Fourth Proportional to 563.66, 845.45 and 178.88

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Solution

The fourth proportional to 563.66, 845.45 and 178.88 is: 268.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.66 : 845.45 = 178.88 : x
  2. Step 2: Convert to fraction form
    563.66/845.45 = 178.88/x
  3. Step 3: Cross multiply
    563.66x = 845.45 × 178.88
  4. Step 4: Simplify right side
    563.66x = 151,228.97
  5. Step 5: Solve for x
    x = 151,228.97/563.66
  6. Step 6: Final answer
    x = 268.30

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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.