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Finding the Fourth Proportional to 297.79, 410.92 and 166.79

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Solution

The fourth proportional to 297.79, 410.92 and 166.79 is: 230.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.79 : 410.92 = 166.79 : x
  2. Step 2: Convert to fraction form
    297.79/410.92 = 166.79/x
  3. Step 3: Cross multiply
    297.79x = 410.92 × 166.79
  4. Step 4: Simplify right side
    297.79x = 68,537.96
  5. Step 5: Solve for x
    x = 68,537.96/297.79
  6. Step 6: Final answer
    x = 230.16

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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.