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Finding the Fourth Proportional to 184.91, 255.17 and 102.02

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Solution

The fourth proportional to 184.91, 255.17 and 102.02 is: 140.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.91 : 255.17 = 102.02 : x
  2. Step 2: Convert to fraction form
    184.91/255.17 = 102.02/x
  3. Step 3: Cross multiply
    184.91x = 255.17 × 102.02
  4. Step 4: Simplify right side
    184.91x = 26,031.42
  5. Step 5: Solve for x
    x = 26,031.42/184.91
  6. Step 6: Final answer
    x = 140.78

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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.