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Finding the Fourth Proportional to 294.11, 441.41 and 149.87

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Solution

The fourth proportional to 294.11, 441.41 and 149.87 is: 224.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.11 : 441.41 = 149.87 : x
  2. Step 2: Convert to fraction form
    294.11/441.41 = 149.87/x
  3. Step 3: Cross multiply
    294.11x = 441.41 × 149.87
  4. Step 4: Simplify right side
    294.11x = 66,153.37
  5. Step 5: Solve for x
    x = 66,153.37/294.11
  6. Step 6: Final answer
    x = 224.93

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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.