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Finding the Fourth Proportional to 185.89, 278.32 and 140.10

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Solution

The fourth proportional to 185.89, 278.32 and 140.10 is: 209.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.89 : 278.32 = 140.10 : x
  2. Step 2: Convert to fraction form
    185.89/278.32 = 140.10/x
  3. Step 3: Cross multiply
    185.89x = 278.32 × 140.10
  4. Step 4: Simplify right side
    185.89x = 38,992.28
  5. Step 5: Solve for x
    x = 38,992.28/185.89
  6. Step 6: Final answer
    x = 209.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.