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Finding the Fourth Proportional to 185.94, 278.38 and 140.14

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Solution

The fourth proportional to 185.94, 278.38 and 140.14 is: 209.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.94 : 278.38 = 140.14 : x
  2. Step 2: Convert to fraction form
    185.94/278.38 = 140.14/x
  3. Step 3: Cross multiply
    185.94x = 278.38 × 140.14
  4. Step 4: Simplify right side
    185.94x = 39,012.17
  5. Step 5: Solve for x
    x = 39,012.17/185.94
  6. Step 6: Final answer
    x = 209.82

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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.