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Finding the Fourth Proportional to 185.70, 256.17 and 126.66

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Solution

The fourth proportional to 185.70, 256.17 and 126.66 is: 174.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.70 : 256.17 = 126.66 : x
  2. Step 2: Convert to fraction form
    185.70/256.17 = 126.66/x
  3. Step 3: Cross multiply
    185.70x = 256.17 × 126.66
  4. Step 4: Simplify right side
    185.70x = 32,446.49
  5. Step 5: Solve for x
    x = 32,446.49/185.70
  6. Step 6: Final answer
    x = 174.73

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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.