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Finding the Fourth Proportional to 185.62, 256.15 and 106.93

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Solution

The fourth proportional to 185.62, 256.15 and 106.93 is: 147.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.62 : 256.15 = 106.93 : x
  2. Step 2: Convert to fraction form
    185.62/256.15 = 106.93/x
  3. Step 3: Cross multiply
    185.62x = 256.15 × 106.93
  4. Step 4: Simplify right side
    185.62x = 27,390.12
  5. Step 5: Solve for x
    x = 27,390.12/185.62
  6. Step 6: Final answer
    x = 147.56

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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.