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Finding the Fourth Proportional to 297.50, 410.48 and 166.48

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Solution

The fourth proportional to 297.50, 410.48 and 166.48 is: 229.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.50 : 410.48 = 166.48 : x
  2. Step 2: Convert to fraction form
    297.50/410.48 = 166.48/x
  3. Step 3: Cross multiply
    297.50x = 410.48 × 166.48
  4. Step 4: Simplify right side
    297.50x = 68,335.48
  5. Step 5: Solve for x
    x = 68,335.48/297.50
  6. Step 6: Final answer
    x = 229.70

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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.