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Finding the Fourth Proportional to 279.12, 384.24 and 229.92

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Solution

The fourth proportional to 279.12, 384.24 and 229.92 is: 316.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.12 : 384.24 = 229.92 : x
  2. Step 2: Convert to fraction form
    279.12/384.24 = 229.92/x
  3. Step 3: Cross multiply
    279.12x = 384.24 × 229.92
  4. Step 4: Simplify right side
    279.12x = 88,344.46
  5. Step 5: Solve for x
    x = 88,344.46/279.12
  6. Step 6: Final answer
    x = 316.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.