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Finding the Fourth Proportional to 294.09, 441.18 and 147.87

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Solution

The fourth proportional to 294.09, 441.18 and 147.87 is: 221.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.09 : 441.18 = 147.87 : x
  2. Step 2: Convert to fraction form
    294.09/441.18 = 147.87/x
  3. Step 3: Cross multiply
    294.09x = 441.18 × 147.87
  4. Step 4: Simplify right side
    294.09x = 65,237.29
  5. Step 5: Solve for x
    x = 65,237.29/294.09
  6. Step 6: Final answer
    x = 221.83

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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.