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Finding the Fourth Proportional to 185.69, 256.24 and 108.07

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Solution

The fourth proportional to 185.69, 256.24 and 108.07 is: 149.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.69 : 256.24 = 108.07 : x
  2. Step 2: Convert to fraction form
    185.69/256.24 = 108.07/x
  3. Step 3: Cross multiply
    185.69x = 256.24 × 108.07
  4. Step 4: Simplify right side
    185.69x = 27,691.86
  5. Step 5: Solve for x
    x = 27,691.86/185.69
  6. Step 6: Final answer
    x = 149.13

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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.