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Finding the Fourth Proportional to 237.91, 356.97 and 101.02

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Solution

The fourth proportional to 237.91, 356.97 and 101.02 is: 151.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.91 : 356.97 = 101.02 : x
  2. Step 2: Convert to fraction form
    237.91/356.97 = 101.02/x
  3. Step 3: Cross multiply
    237.91x = 356.97 × 101.02
  4. Step 4: Simplify right side
    237.91x = 36,061.11
  5. Step 5: Solve for x
    x = 36,061.11/237.91
  6. Step 6: Final answer
    x = 151.57

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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.