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Finding the Fourth Proportional to 187.32, 258.34 and 140.80

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Solution

The fourth proportional to 187.32, 258.34 and 140.80 is: 194.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.32 : 258.34 = 140.80 : x
  2. Step 2: Convert to fraction form
    187.32/258.34 = 140.80/x
  3. Step 3: Cross multiply
    187.32x = 258.34 × 140.80
  4. Step 4: Simplify right side
    187.32x = 36,373.57
  5. Step 5: Solve for x
    x = 36,373.57/187.32
  6. Step 6: Final answer
    x = 194.18

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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.