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Finding the Fourth Proportional to 278.71, 418.10 and 83.68

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Solution

The fourth proportional to 278.71, 418.10 and 83.68 is: 125.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.71 : 418.10 = 83.68 : x
  2. Step 2: Convert to fraction form
    278.71/418.10 = 83.68/x
  3. Step 3: Cross multiply
    278.71x = 418.10 × 83.68
  4. Step 4: Simplify right side
    278.71x = 34,986.61
  5. Step 5: Solve for x
    x = 34,986.61/278.71
  6. Step 6: Final answer
    x = 125.53

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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.