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Finding the Fourth Proportional to 187.76, 258.82 and 132.38

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Solution

The fourth proportional to 187.76, 258.82 and 132.38 is: 182.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.76 : 258.82 = 132.38 : x
  2. Step 2: Convert to fraction form
    187.76/258.82 = 132.38/x
  3. Step 3: Cross multiply
    187.76x = 258.82 × 132.38
  4. Step 4: Simplify right side
    187.76x = 34,260.97
  5. Step 5: Solve for x
    x = 34,260.97/187.76
  6. Step 6: Final answer
    x = 182.47

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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.