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Finding the Fourth Proportional to 297.64, 410.73 and 166.64

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Solution

The fourth proportional to 297.64, 410.73 and 166.64 is: 229.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.64 : 410.73 = 166.64 : x
  2. Step 2: Convert to fraction form
    297.64/410.73 = 166.64/x
  3. Step 3: Cross multiply
    297.64x = 410.73 × 166.64
  4. Step 4: Simplify right side
    297.64x = 68,444.05
  5. Step 5: Solve for x
    x = 68,444.05/297.64
  6. Step 6: Final answer
    x = 229.96

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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.