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Finding the Fourth Proportional to 278.14, 417.14 and 83.15

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Solution

The fourth proportional to 278.14, 417.14 and 83.15 is: 124.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.14 : 417.14 = 83.15 : x
  2. Step 2: Convert to fraction form
    278.14/417.14 = 83.15/x
  3. Step 3: Cross multiply
    278.14x = 417.14 × 83.15
  4. Step 4: Simplify right side
    278.14x = 34,685.19
  5. Step 5: Solve for x
    x = 34,685.19/278.14
  6. Step 6: Final answer
    x = 124.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.