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Finding the Fourth Proportional to 185.86, 256.46 and 102.96

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Solution

The fourth proportional to 185.86, 256.46 and 102.96 is: 142.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.86 : 256.46 = 102.96 : x
  2. Step 2: Convert to fraction form
    185.86/256.46 = 102.96/x
  3. Step 3: Cross multiply
    185.86x = 256.46 × 102.96
  4. Step 4: Simplify right side
    185.86x = 26,404.61
  5. Step 5: Solve for x
    x = 26,404.61/185.86
  6. Step 6: Final answer
    x = 142.07

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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.