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Finding the Fourth Proportional to 298.24, 446.78 and 176.13

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Solution

The fourth proportional to 298.24, 446.78 and 176.13 is: 263.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.24 : 446.78 = 176.13 : x
  2. Step 2: Convert to fraction form
    298.24/446.78 = 176.13/x
  3. Step 3: Cross multiply
    298.24x = 446.78 × 176.13
  4. Step 4: Simplify right side
    298.24x = 78,691.80
  5. Step 5: Solve for x
    x = 78,691.80/298.24
  6. Step 6: Final answer
    x = 263.86

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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.