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Finding the Fourth Proportional to 293.23, 404.66 and 168.93

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Solution

The fourth proportional to 293.23, 404.66 and 168.93 is: 233.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.23 : 404.66 = 168.93 : x
  2. Step 2: Convert to fraction form
    293.23/404.66 = 168.93/x
  3. Step 3: Cross multiply
    293.23x = 404.66 × 168.93
  4. Step 4: Simplify right side
    293.23x = 68,359.21
  5. Step 5: Solve for x
    x = 68,359.21/293.23
  6. Step 6: Final answer
    x = 233.12

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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.