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Finding the Fourth Proportional to 278.24, 416.75 and 169.70

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Solution

The fourth proportional to 278.24, 416.75 and 169.70 is: 254.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.24 : 416.75 = 169.70 : x
  2. Step 2: Convert to fraction form
    278.24/416.75 = 169.70/x
  3. Step 3: Cross multiply
    278.24x = 416.75 × 169.70
  4. Step 4: Simplify right side
    278.24x = 70,719.54
  5. Step 5: Solve for x
    x = 70,719.54/278.24
  6. Step 6: Final answer
    x = 254.17

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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.