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Finding the Fourth Proportional to 187.71, 258.87 and 121.29

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Solution

The fourth proportional to 187.71, 258.87 and 121.29 is: 167.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.71 : 258.87 = 121.29 : x
  2. Step 2: Convert to fraction form
    187.71/258.87 = 121.29/x
  3. Step 3: Cross multiply
    187.71x = 258.87 × 121.29
  4. Step 4: Simplify right side
    187.71x = 31,398.34
  5. Step 5: Solve for x
    x = 31,398.34/187.71
  6. Step 6: Final answer
    x = 167.27

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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.