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Finding the Fourth Proportional to 278.29, 418.00 and 168.71

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Solution

The fourth proportional to 278.29, 418.00 and 168.71 is: 253.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.29 : 418.00 = 168.71 : x
  2. Step 2: Convert to fraction form
    278.29/418.00 = 168.71/x
  3. Step 3: Cross multiply
    278.29x = 418.00 × 168.71
  4. Step 4: Simplify right side
    278.29x = 70,522.17
  5. Step 5: Solve for x
    x = 70,522.17/278.29
  6. Step 6: Final answer
    x = 253.41

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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.