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Finding the Fourth Proportional to 293.13, 404.16 and 237.72

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Solution

The fourth proportional to 293.13, 404.16 and 237.72 is: 327.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.13 : 404.16 = 237.72 : x
  2. Step 2: Convert to fraction form
    293.13/404.16 = 237.72/x
  3. Step 3: Cross multiply
    293.13x = 404.16 × 237.72
  4. Step 4: Simplify right side
    293.13x = 96,076.92
  5. Step 5: Solve for x
    x = 96,076.92/293.13
  6. Step 6: Final answer
    x = 327.76

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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.