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Finding the Fourth Proportional to 278.22, 417.28 and 83.22

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Solution

The fourth proportional to 278.22, 417.28 and 83.22 is: 124.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.22 : 417.28 = 83.22 : x
  2. Step 2: Convert to fraction form
    278.22/417.28 = 83.22/x
  3. Step 3: Cross multiply
    278.22x = 417.28 × 83.22
  4. Step 4: Simplify right side
    278.22x = 34,726.04
  5. Step 5: Solve for x
    x = 34,726.04/278.22
  6. Step 6: Final answer
    x = 124.82

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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.