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Finding the Fourth Proportional to 237.41, 356.13 and 75.11

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Solution

The fourth proportional to 237.41, 356.13 and 75.11 is: 112.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.41 : 356.13 = 75.11 : x
  2. Step 2: Convert to fraction form
    237.41/356.13 = 75.11/x
  3. Step 3: Cross multiply
    237.41x = 356.13 × 75.11
  4. Step 4: Simplify right side
    237.41x = 26,747.14
  5. Step 5: Solve for x
    x = 26,747.14/237.41
  6. Step 6: Final answer
    x = 112.66

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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.