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Finding the Fourth Proportional to 187.42, 258.54 and 132.24

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Solution

The fourth proportional to 187.42, 258.54 and 132.24 is: 182.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.42 : 258.54 = 132.24 : x
  2. Step 2: Convert to fraction form
    187.42/258.54 = 132.24/x
  3. Step 3: Cross multiply
    187.42x = 258.54 × 132.24
  4. Step 4: Simplify right side
    187.42x = 34,189.33
  5. Step 5: Solve for x
    x = 34,189.33/187.42
  6. Step 6: Final answer
    x = 182.42

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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.