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Finding the Fourth Proportional to 297.74, 410.91 and 166.76

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Solution

The fourth proportional to 297.74, 410.91 and 166.76 is: 230.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.74 : 410.91 = 166.76 : x
  2. Step 2: Convert to fraction form
    297.74/410.91 = 166.76/x
  3. Step 3: Cross multiply
    297.74x = 410.91 × 166.76
  4. Step 4: Simplify right side
    297.74x = 68,522.21
  5. Step 5: Solve for x
    x = 68,522.21/297.74
  6. Step 6: Final answer
    x = 230.14

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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.