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Finding the Fourth Proportional to 298.12, 411.40 and 167.12

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Solution

The fourth proportional to 298.12, 411.40 and 167.12 is: 230.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.12 : 411.40 = 167.12 : x
  2. Step 2: Convert to fraction form
    298.12/411.40 = 167.12/x
  3. Step 3: Cross multiply
    298.12x = 411.40 × 167.12
  4. Step 4: Simplify right side
    298.12x = 68,753.17
  5. Step 5: Solve for x
    x = 68,753.17/298.12
  6. Step 6: Final answer
    x = 230.62

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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.