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Finding the Fourth Proportional to 185.91, 256.54 and 101.88

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Solution

The fourth proportional to 185.91, 256.54 and 101.88 is: 140.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.91 : 256.54 = 101.88 : x
  2. Step 2: Convert to fraction form
    185.91/256.54 = 101.88/x
  3. Step 3: Cross multiply
    185.91x = 256.54 × 101.88
  4. Step 4: Simplify right side
    185.91x = 26,136.30
  5. Step 5: Solve for x
    x = 26,136.30/185.91
  6. Step 6: Final answer
    x = 140.59

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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.