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Finding the Fourth Proportional to 293.24, 404.55 and 176.78

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Solution

The fourth proportional to 293.24, 404.55 and 176.78 is: 243.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.24 : 404.55 = 176.78 : x
  2. Step 2: Convert to fraction form
    293.24/404.55 = 176.78/x
  3. Step 3: Cross multiply
    293.24x = 404.55 × 176.78
  4. Step 4: Simplify right side
    293.24x = 71,516.35
  5. Step 5: Solve for x
    x = 71,516.35/293.24
  6. Step 6: Final answer
    x = 243.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.