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Finding the Fourth Proportional to 298.19, 411.47 and 167.20

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Solution

The fourth proportional to 298.19, 411.47 and 167.20 is: 230.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.19 : 411.47 = 167.20 : x
  2. Step 2: Convert to fraction form
    298.19/411.47 = 167.20/x
  3. Step 3: Cross multiply
    298.19x = 411.47 × 167.20
  4. Step 4: Simplify right side
    298.19x = 68,795.73
  5. Step 5: Solve for x
    x = 68,795.73/298.19
  6. Step 6: Final answer
    x = 230.71

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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.