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Finding the Fourth Proportional to 237.97, 356.87 and 116.16

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Solution

The fourth proportional to 237.97, 356.87 and 116.16 is: 174.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.97 : 356.87 = 116.16 : x
  2. Step 2: Convert to fraction form
    237.97/356.87 = 116.16/x
  3. Step 3: Cross multiply
    237.97x = 356.87 × 116.16
  4. Step 4: Simplify right side
    237.97x = 41,451.65
  5. Step 5: Solve for x
    x = 41,451.65/237.97
  6. Step 6: Final answer
    x = 174.19

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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.