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Finding the Fourth Proportional to 297.42, 410.43 and 166.43

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Solution

The fourth proportional to 297.42, 410.43 and 166.43 is: 229.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.42 : 410.43 = 166.43 : x
  2. Step 2: Convert to fraction form
    297.42/410.43 = 166.43/x
  3. Step 3: Cross multiply
    297.42x = 410.43 × 166.43
  4. Step 4: Simplify right side
    297.42x = 68,305.81
  5. Step 5: Solve for x
    x = 68,305.81/297.42
  6. Step 6: Final answer
    x = 229.66

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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.