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Finding the Fourth Proportional to 297.38, 410.40 and 173.12

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Solution

The fourth proportional to 297.38, 410.40 and 173.12 is: 238.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.38 : 410.40 = 173.12 : x
  2. Step 2: Convert to fraction form
    297.38/410.40 = 173.12/x
  3. Step 3: Cross multiply
    297.38x = 410.40 × 173.12
  4. Step 4: Simplify right side
    297.38x = 71,048.45
  5. Step 5: Solve for x
    x = 71,048.45/297.38
  6. Step 6: Final answer
    x = 238.91

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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.