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Finding the Fourth Proportional to 297.68, 410.82 and 166.70

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Solution

The fourth proportional to 297.68, 410.82 and 166.70 is: 230.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.68 : 410.82 = 166.70 : x
  2. Step 2: Convert to fraction form
    297.68/410.82 = 166.70/x
  3. Step 3: Cross multiply
    297.68x = 410.82 × 166.70
  4. Step 4: Simplify right side
    297.68x = 68,483.69
  5. Step 5: Solve for x
    x = 68,483.69/297.68
  6. Step 6: Final answer
    x = 230.06

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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.