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Finding the Fourth Proportional to 237.71, 328.16 and 175.70

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Solution

The fourth proportional to 237.71, 328.16 and 175.70 is: 242.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.71 : 328.16 = 175.70 : x
  2. Step 2: Convert to fraction form
    237.71/328.16 = 175.70/x
  3. Step 3: Cross multiply
    237.71x = 328.16 × 175.70
  4. Step 4: Simplify right side
    237.71x = 57,658.97
  5. Step 5: Solve for x
    x = 57,658.97/237.71
  6. Step 6: Final answer
    x = 242.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.