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Finding the Fourth Proportional to 185.37, 278.16 and 139.80

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Solution

The fourth proportional to 185.37, 278.16 and 139.80 is: 209.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.37 : 278.16 = 139.80 : x
  2. Step 2: Convert to fraction form
    185.37/278.16 = 139.80/x
  3. Step 3: Cross multiply
    185.37x = 278.16 × 139.80
  4. Step 4: Simplify right side
    185.37x = 38,886.77
  5. Step 5: Solve for x
    x = 38,886.77/185.37
  6. Step 6: Final answer
    x = 209.78

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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.