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Finding the Fourth Proportional to 298.10, 411.42 and 167.14

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Solution

The fourth proportional to 298.10, 411.42 and 167.14 is: 230.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.10 : 411.42 = 167.14 : x
  2. Step 2: Convert to fraction form
    298.10/411.42 = 167.14/x
  3. Step 3: Cross multiply
    298.10x = 411.42 × 167.14
  4. Step 4: Simplify right side
    298.10x = 68,764.74
  5. Step 5: Solve for x
    x = 68,764.74/298.10
  6. Step 6: Final answer
    x = 230.68

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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.