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Finding the Fourth Proportional to 278.49, 417.12 and 169.95

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Solution

The fourth proportional to 278.49, 417.12 and 169.95 is: 254.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.49 : 417.12 = 169.95 : x
  2. Step 2: Convert to fraction form
    278.49/417.12 = 169.95/x
  3. Step 3: Cross multiply
    278.49x = 417.12 × 169.95
  4. Step 4: Simplify right side
    278.49x = 70,887.46
  5. Step 5: Solve for x
    x = 70,887.46/278.49
  6. Step 6: Final answer
    x = 254.55

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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.