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Finding the Fourth Proportional to 278.43, 417.57 and 83.43

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Solution

The fourth proportional to 278.43, 417.57 and 83.43 is: 125.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.43 : 417.57 = 83.43 : x
  2. Step 2: Convert to fraction form
    278.43/417.57 = 83.43/x
  3. Step 3: Cross multiply
    278.43x = 417.57 × 83.43
  4. Step 4: Simplify right side
    278.43x = 34,837.87
  5. Step 5: Solve for x
    x = 34,837.87/278.43
  6. Step 6: Final answer
    x = 125.12

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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.