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Finding the Fourth Proportional to 237.71, 328.05 and 132.82

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Solution

The fourth proportional to 237.71, 328.05 and 132.82 is: 183.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.71 : 328.05 = 132.82 : x
  2. Step 2: Convert to fraction form
    237.71/328.05 = 132.82/x
  3. Step 3: Cross multiply
    237.71x = 328.05 × 132.82
  4. Step 4: Simplify right side
    237.71x = 43,570.78
  5. Step 5: Solve for x
    x = 43,570.78/237.71
  6. Step 6: Final answer
    x = 183.29

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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.