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Finding the Fourth Proportional to 294.13, 441.26 and 85.90

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Solution

The fourth proportional to 294.13, 441.26 and 85.90 is: 128.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.13 : 441.26 = 85.90 : x
  2. Step 2: Convert to fraction form
    294.13/441.26 = 85.90/x
  3. Step 3: Cross multiply
    294.13x = 441.26 × 85.90
  4. Step 4: Simplify right side
    294.13x = 37,902.70
  5. Step 5: Solve for x
    x = 37,902.70/294.13
  6. Step 6: Final answer
    x = 128.86

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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.