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Finding the Fourth Proportional to 237.68, 328 and 132.78

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Solution

The fourth proportional to 237.68, 328 and 132.78 is: 183.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.68 : 328 = 132.78 : x
  2. Step 2: Convert to fraction form
    237.68/328 = 132.78/x
  3. Step 3: Cross multiply
    237.68x = 328 × 132.78
  4. Step 4: Simplify right side
    237.68x = 43,551.84
  5. Step 5: Solve for x
    x = 43,551.84/237.68
  6. Step 6: Final answer
    x = 183.24

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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.