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Finding the Fourth Proportional to 185.85, 256.45 and 106.10

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Solution

The fourth proportional to 185.85, 256.45 and 106.10 is: 146.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.85 : 256.45 = 106.10 : x
  2. Step 2: Convert to fraction form
    185.85/256.45 = 106.10/x
  3. Step 3: Cross multiply
    185.85x = 256.45 × 106.10
  4. Step 4: Simplify right side
    185.85x = 27,207.80
  5. Step 5: Solve for x
    x = 27,207.80/185.85
  6. Step 6: Final answer
    x = 146.39

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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.