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Finding the Fourth Proportional to 187.31, 258.53 and 132.05

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Solution

The fourth proportional to 187.31, 258.53 and 132.05 is: 182.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.31 : 258.53 = 132.05 : x
  2. Step 2: Convert to fraction form
    187.31/258.53 = 132.05/x
  3. Step 3: Cross multiply
    187.31x = 258.53 × 132.05
  4. Step 4: Simplify right side
    187.31x = 34,139.86
  5. Step 5: Solve for x
    x = 34,139.86/187.31
  6. Step 6: Final answer
    x = 182.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.