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Finding the Fourth Proportional to 237.12, 354.72 and 150.24

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Solution

The fourth proportional to 237.12, 354.72 and 150.24 is: 224.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.12 : 354.72 = 150.24 : x
  2. Step 2: Convert to fraction form
    237.12/354.72 = 150.24/x
  3. Step 3: Cross multiply
    237.12x = 354.72 × 150.24
  4. Step 4: Simplify right side
    237.12x = 53,293.13
  5. Step 5: Solve for x
    x = 53,293.13/237.12
  6. Step 6: Final answer
    x = 224.75

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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.