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Finding the Fourth Proportional to 182.50, 251.84 and 99.60

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Solution

The fourth proportional to 182.50, 251.84 and 99.60 is: 137.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.50 : 251.84 = 99.60 : x
  2. Step 2: Convert to fraction form
    182.50/251.84 = 99.60/x
  3. Step 3: Cross multiply
    182.50x = 251.84 × 99.60
  4. Step 4: Simplify right side
    182.50x = 25,084.08
  5. Step 5: Solve for x
    x = 25,084.08/182.50
  6. Step 6: Final answer
    x = 137.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.