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Finding the Fourth Proportional to 297.46, 410.52 and 166.47

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Solution

The fourth proportional to 297.46, 410.52 and 166.47 is: 229.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.46 : 410.52 = 166.47 : x
  2. Step 2: Convert to fraction form
    297.46/410.52 = 166.47/x
  3. Step 3: Cross multiply
    297.46x = 410.52 × 166.47
  4. Step 4: Simplify right side
    297.46x = 68,339.26
  5. Step 5: Solve for x
    x = 68,339.26/297.46
  6. Step 6: Final answer
    x = 229.74

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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.