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Finding the Fourth Proportional to 297.70, 410.78 and 166.68

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Solution

The fourth proportional to 297.70, 410.78 and 166.68 is: 229.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.70 : 410.78 = 166.68 : x
  2. Step 2: Convert to fraction form
    297.70/410.78 = 166.68/x
  3. Step 3: Cross multiply
    297.70x = 410.78 × 166.68
  4. Step 4: Simplify right side
    297.70x = 68,468.81
  5. Step 5: Solve for x
    x = 68,468.81/297.70
  6. Step 6: Final answer
    x = 229.99

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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.