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Finding the Fourth Proportional to 237.84, 328.20 and 132.92

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Solution

The fourth proportional to 237.84, 328.20 and 132.92 is: 183.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.84 : 328.20 = 132.92 : x
  2. Step 2: Convert to fraction form
    237.84/328.20 = 132.92/x
  3. Step 3: Cross multiply
    237.84x = 328.20 × 132.92
  4. Step 4: Simplify right side
    237.84x = 43,626.03
  5. Step 5: Solve for x
    x = 43,626.03/237.84
  6. Step 6: Final answer
    x = 183.42

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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.