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Finding the Fourth Proportional to 187.29, 258.27 and 150.42

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Solution

The fourth proportional to 187.29, 258.27 and 150.42 is: 207.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.29 : 258.27 = 150.42 : x
  2. Step 2: Convert to fraction form
    187.29/258.27 = 150.42/x
  3. Step 3: Cross multiply
    187.29x = 258.27 × 150.42
  4. Step 4: Simplify right side
    187.29x = 38,848.97
  5. Step 5: Solve for x
    x = 38,848.97/187.29
  6. Step 6: Final answer
    x = 207.43

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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.