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Finding the Fourth Proportional to 297.82, 411.02 and 166.87

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Solution

The fourth proportional to 297.82, 411.02 and 166.87 is: 230.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.82 : 411.02 = 166.87 : x
  2. Step 2: Convert to fraction form
    297.82/411.02 = 166.87/x
  3. Step 3: Cross multiply
    297.82x = 411.02 × 166.87
  4. Step 4: Simplify right side
    297.82x = 68,586.91
  5. Step 5: Solve for x
    x = 68,586.91/297.82
  6. Step 6: Final answer
    x = 230.30

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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.