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Finding the Fourth Proportional to 293.30, 403.06 and 237.92

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Solution

The fourth proportional to 293.30, 403.06 and 237.92 is: 326.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.30 : 403.06 = 237.92 : x
  2. Step 2: Convert to fraction form
    293.30/403.06 = 237.92/x
  3. Step 3: Cross multiply
    293.30x = 403.06 × 237.92
  4. Step 4: Simplify right side
    293.30x = 95,896.04
  5. Step 5: Solve for x
    x = 95,896.04/293.30
  6. Step 6: Final answer
    x = 326.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.