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Finding the Fourth Proportional to 278.52, 418.18 and 176.24

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Solution

The fourth proportional to 278.52, 418.18 and 176.24 is: 264.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.52 : 418.18 = 176.24 : x
  2. Step 2: Convert to fraction form
    278.52/418.18 = 176.24/x
  3. Step 3: Cross multiply
    278.52x = 418.18 × 176.24
  4. Step 4: Simplify right side
    278.52x = 73,700.04
  5. Step 5: Solve for x
    x = 73,700.04/278.52
  6. Step 6: Final answer
    x = 264.61

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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.