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Finding the Fourth Proportional to 187.53, 258.71 and 132.16

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Solution

The fourth proportional to 187.53, 258.71 and 132.16 is: 182.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.53 : 258.71 = 132.16 : x
  2. Step 2: Convert to fraction form
    187.53/258.71 = 132.16/x
  3. Step 3: Cross multiply
    187.53x = 258.71 × 132.16
  4. Step 4: Simplify right side
    187.53x = 34,189.82
  5. Step 5: Solve for x
    x = 34,189.82/187.53
  6. Step 6: Final answer
    x = 182.32

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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.