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Finding the Fourth Proportional to 187.66, 281.49 and 135.82

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Solution

The fourth proportional to 187.66, 281.49 and 135.82 is: 203.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.66 : 281.49 = 135.82 : x
  2. Step 2: Convert to fraction form
    187.66/281.49 = 135.82/x
  3. Step 3: Cross multiply
    187.66x = 281.49 × 135.82
  4. Step 4: Simplify right side
    187.66x = 38,233.02
  5. Step 5: Solve for x
    x = 38,233.02/187.66
  6. Step 6: Final answer
    x = 203.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.