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Finding the Fourth Proportional to 237.42, 327.63 and 132.53

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Solution

The fourth proportional to 237.42, 327.63 and 132.53 is: 182.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.42 : 327.63 = 132.53 : x
  2. Step 2: Convert to fraction form
    237.42/327.63 = 132.53/x
  3. Step 3: Cross multiply
    237.42x = 327.63 × 132.53
  4. Step 4: Simplify right side
    237.42x = 43,419.17
  5. Step 5: Solve for x
    x = 43,419.17/237.42
  6. Step 6: Final answer
    x = 182.88

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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.