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Finding the Fourth Proportional to 237.09, 355.68 and 74.78

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Solution

The fourth proportional to 237.09, 355.68 and 74.78 is: 112.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.09 : 355.68 = 74.78 : x
  2. Step 2: Convert to fraction form
    237.09/355.68 = 74.78/x
  3. Step 3: Cross multiply
    237.09x = 355.68 × 74.78
  4. Step 4: Simplify right side
    237.09x = 26,595.97
  5. Step 5: Solve for x
    x = 26,595.97/237.09
  6. Step 6: Final answer
    x = 112.18

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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.