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Finding the Fourth Proportional to 243.54, 365.32 and 224.74

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Solution

The fourth proportional to 243.54, 365.32 and 224.74 is: 337.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.54 : 365.32 = 224.74 : x
  2. Step 2: Convert to fraction form
    243.54/365.32 = 224.74/x
  3. Step 3: Cross multiply
    243.54x = 365.32 × 224.74
  4. Step 4: Simplify right side
    243.54x = 82,102.02
  5. Step 5: Solve for x
    x = 82,102.02/243.54
  6. Step 6: Final answer
    x = 337.12

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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.