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Finding the Fourth Proportional to 278.38, 417.62 and 93.26

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Solution

The fourth proportional to 278.38, 417.62 and 93.26 is: 139.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.38 : 417.62 = 93.26 : x
  2. Step 2: Convert to fraction form
    278.38/417.62 = 93.26/x
  3. Step 3: Cross multiply
    278.38x = 417.62 × 93.26
  4. Step 4: Simplify right side
    278.38x = 38,949.17
  5. Step 5: Solve for x
    x = 38,949.17/278.38
  6. Step 6: Final answer
    x = 139.91

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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.