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Finding the Fourth Proportional to 278.47, 417.16 and 229.79

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Solution

The fourth proportional to 278.47, 417.16 and 229.79 is: 344.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.47 : 417.16 = 229.79 : x
  2. Step 2: Convert to fraction form
    278.47/417.16 = 229.79/x
  3. Step 3: Cross multiply
    278.47x = 417.16 × 229.79
  4. Step 4: Simplify right side
    278.47x = 95,859.20
  5. Step 5: Solve for x
    x = 95,859.20/278.47
  6. Step 6: Final answer
    x = 344.24

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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.