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Finding the Fourth Proportional to 297.81, 410.98 and 166.82

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Solution

The fourth proportional to 297.81, 410.98 and 166.82 is: 230.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.81 : 410.98 = 166.82 : x
  2. Step 2: Convert to fraction form
    297.81/410.98 = 166.82/x
  3. Step 3: Cross multiply
    297.81x = 410.98 × 166.82
  4. Step 4: Simplify right side
    297.81x = 68,561.13
  5. Step 5: Solve for x
    x = 68,561.13/297.81
  6. Step 6: Final answer
    x = 230.22

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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.