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Finding the Fourth Proportional to 187.31, 258.45 and 138.20

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Solution

The fourth proportional to 187.31, 258.45 and 138.20 is: 190.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.31 : 258.45 = 138.20 : x
  2. Step 2: Convert to fraction form
    187.31/258.45 = 138.20/x
  3. Step 3: Cross multiply
    187.31x = 258.45 × 138.20
  4. Step 4: Simplify right side
    187.31x = 35,717.79
  5. Step 5: Solve for x
    x = 35,717.79/187.31
  6. Step 6: Final answer
    x = 190.69

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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.