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Finding the Fourth Proportional to 278.70, 417.90 and 86.28

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Solution

The fourth proportional to 278.70, 417.90 and 86.28 is: 129.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.70 : 417.90 = 86.28 : x
  2. Step 2: Convert to fraction form
    278.70/417.90 = 86.28/x
  3. Step 3: Cross multiply
    278.70x = 417.90 × 86.28
  4. Step 4: Simplify right side
    278.70x = 36,056.41
  5. Step 5: Solve for x
    x = 36,056.41/278.70
  6. Step 6: Final answer
    x = 129.37

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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.