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Finding the Fourth Proportional to 278.97, 385.02 and 168.47

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Solution

The fourth proportional to 278.97, 385.02 and 168.47 is: 232.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.97 : 385.02 = 168.47 : x
  2. Step 2: Convert to fraction form
    278.97/385.02 = 168.47/x
  3. Step 3: Cross multiply
    278.97x = 385.02 × 168.47
  4. Step 4: Simplify right side
    278.97x = 64,864.65
  5. Step 5: Solve for x
    x = 64,864.65/278.97
  6. Step 6: Final answer
    x = 232.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.