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Finding the Fourth Proportional to 293.46, 404.97 and 160.68

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Solution

The fourth proportional to 293.46, 404.97 and 160.68 is: 221.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.46 : 404.97 = 160.68 : x
  2. Step 2: Convert to fraction form
    293.46/404.97 = 160.68/x
  3. Step 3: Cross multiply
    293.46x = 404.97 × 160.68
  4. Step 4: Simplify right side
    293.46x = 65,070.28
  5. Step 5: Solve for x
    x = 65,070.28/293.46
  6. Step 6: Final answer
    x = 221.74

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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.