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Finding the Fourth Proportional to 293.97, 441.02 and 88.54

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Solution

The fourth proportional to 293.97, 441.02 and 88.54 is: 132.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.97 : 441.02 = 88.54 : x
  2. Step 2: Convert to fraction form
    293.97/441.02 = 88.54/x
  3. Step 3: Cross multiply
    293.97x = 441.02 × 88.54
  4. Step 4: Simplify right side
    293.97x = 39,046.37
  5. Step 5: Solve for x
    x = 39,046.37/293.97
  6. Step 6: Final answer
    x = 132.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.