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Finding the Fourth Proportional to 293.16, 404.56 and 168.81

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Solution

The fourth proportional to 293.16, 404.56 and 168.81 is: 232.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.16 : 404.56 = 168.81 : x
  2. Step 2: Convert to fraction form
    293.16/404.56 = 168.81/x
  3. Step 3: Cross multiply
    293.16x = 404.56 × 168.81
  4. Step 4: Simplify right side
    293.16x = 68,293.77
  5. Step 5: Solve for x
    x = 68,293.77/293.16
  6. Step 6: Final answer
    x = 232.96

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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.