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Finding the Fourth Proportional to 185.80, 256.42 and 107.12

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Solution

The fourth proportional to 185.80, 256.42 and 107.12 is: 147.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.80 : 256.42 = 107.12 : x
  2. Step 2: Convert to fraction form
    185.80/256.42 = 107.12/x
  3. Step 3: Cross multiply
    185.80x = 256.42 × 107.12
  4. Step 4: Simplify right side
    185.80x = 27,467.71
  5. Step 5: Solve for x
    x = 27,467.71/185.80
  6. Step 6: Final answer
    x = 147.83

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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.