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Finding the Fourth Proportional to 297.68, 410.81 and 166.69

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Solution

The fourth proportional to 297.68, 410.81 and 166.69 is: 230.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.68 : 410.81 = 166.69 : x
  2. Step 2: Convert to fraction form
    297.68/410.81 = 166.69/x
  3. Step 3: Cross multiply
    297.68x = 410.81 × 166.69
  4. Step 4: Simplify right side
    297.68x = 68,476.06
  5. Step 5: Solve for x
    x = 68,476.06/297.68
  6. Step 6: Final answer
    x = 230.03

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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.