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Finding the Fourth Proportional to 297.32, 410.33 and 166.34

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Solution

The fourth proportional to 297.32, 410.33 and 166.34 is: 229.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.32 : 410.33 = 166.34 : x
  2. Step 2: Convert to fraction form
    297.32/410.33 = 166.34/x
  3. Step 3: Cross multiply
    297.32x = 410.33 × 166.34
  4. Step 4: Simplify right side
    297.32x = 68,254.29
  5. Step 5: Solve for x
    x = 68,254.29/297.32
  6. Step 6: Final answer
    x = 229.57

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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.