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Finding the Fourth Proportional to 278.64, 416.88 and 169.92

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Solution

The fourth proportional to 278.64, 416.88 and 169.92 is: 254.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.64 : 416.88 = 169.92 : x
  2. Step 2: Convert to fraction form
    278.64/416.88 = 169.92/x
  3. Step 3: Cross multiply
    278.64x = 416.88 × 169.92
  4. Step 4: Simplify right side
    278.64x = 70,836.25
  5. Step 5: Solve for x
    x = 70,836.25/278.64
  6. Step 6: Final answer
    x = 254.22

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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.