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Finding the Fourth Proportional to 187.34, 258.21 and 129.02

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Solution

The fourth proportional to 187.34, 258.21 and 129.02 is: 177.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.34 : 258.21 = 129.02 : x
  2. Step 2: Convert to fraction form
    187.34/258.21 = 129.02/x
  3. Step 3: Cross multiply
    187.34x = 258.21 × 129.02
  4. Step 4: Simplify right side
    187.34x = 33,314.25
  5. Step 5: Solve for x
    x = 33,314.25/187.34
  6. Step 6: Final answer
    x = 177.83

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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.