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Finding the Fourth Proportional to 185.70, 278.10 and 139.80

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Solution

The fourth proportional to 185.70, 278.10 and 139.80 is: 209.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.70 : 278.10 = 139.80 : x
  2. Step 2: Convert to fraction form
    185.70/278.10 = 139.80/x
  3. Step 3: Cross multiply
    185.70x = 278.10 × 139.80
  4. Step 4: Simplify right side
    185.70x = 38,878.38
  5. Step 5: Solve for x
    x = 38,878.38/185.70
  6. Step 6: Final answer
    x = 209.36

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