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Finding the Fourth Proportional to 297.74, 410.81 and 171.71

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Solution

The fourth proportional to 297.74, 410.81 and 171.71 is: 236.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.74 : 410.81 = 171.71 : x
  2. Step 2: Convert to fraction form
    297.74/410.81 = 171.71/x
  3. Step 3: Cross multiply
    297.74x = 410.81 × 171.71
  4. Step 4: Simplify right side
    297.74x = 70,540.19
  5. Step 5: Solve for x
    x = 70,540.19/297.74
  6. Step 6: Final answer
    x = 236.92

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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.