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Finding the Fourth Proportional to 185.96, 256.50 and 120.52

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Solution

The fourth proportional to 185.96, 256.50 and 120.52 is: 166.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.96 : 256.50 = 120.52 : x
  2. Step 2: Convert to fraction form
    185.96/256.50 = 120.52/x
  3. Step 3: Cross multiply
    185.96x = 256.50 × 120.52
  4. Step 4: Simplify right side
    185.96x = 30,913.38
  5. Step 5: Solve for x
    x = 30,913.38/185.96
  6. Step 6: Final answer
    x = 166.24

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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.