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Finding the Fourth Proportional to 297.69, 410.84 and 166.70

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Solution

The fourth proportional to 297.69, 410.84 and 166.70 is: 230.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.69 : 410.84 = 166.70 : x
  2. Step 2: Convert to fraction form
    297.69/410.84 = 166.70/x
  3. Step 3: Cross multiply
    297.69x = 410.84 × 166.70
  4. Step 4: Simplify right side
    297.69x = 68,488.47
  5. Step 5: Solve for x
    x = 68,488.47/297.69
  6. Step 6: Final answer
    x = 230.07

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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.