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Finding the Fourth Proportional to 185.74, 256.22 and 120.13

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Solution

The fourth proportional to 185.74, 256.22 and 120.13 is: 165.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.74 : 256.22 = 120.13 : x
  2. Step 2: Convert to fraction form
    185.74/256.22 = 120.13/x
  3. Step 3: Cross multiply
    185.74x = 256.22 × 120.13
  4. Step 4: Simplify right side
    185.74x = 30,777.83
  5. Step 5: Solve for x
    x = 30,777.83/185.74
  6. Step 6: Final answer
    x = 165.71

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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.