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Finding the Fourth Proportional to 278.57, 416.90 and 229.25

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Solution

The fourth proportional to 278.57, 416.90 and 229.25 is: 343.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.57 : 416.90 = 229.25 : x
  2. Step 2: Convert to fraction form
    278.57/416.90 = 229.25/x
  3. Step 3: Cross multiply
    278.57x = 416.90 × 229.25
  4. Step 4: Simplify right side
    278.57x = 95,572.24
  5. Step 5: Solve for x
    x = 95,572.24/278.57
  6. Step 6: Final answer
    x = 343.09

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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.