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Finding the Fourth Proportional to 294.13, 441.10 and 149.75

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Solution

The fourth proportional to 294.13, 441.10 and 149.75 is: 224.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.13 : 441.10 = 149.75 : x
  2. Step 2: Convert to fraction form
    294.13/441.10 = 149.75/x
  3. Step 3: Cross multiply
    294.13x = 441.10 × 149.75
  4. Step 4: Simplify right side
    294.13x = 66,054.73
  5. Step 5: Solve for x
    x = 66,054.73/294.13
  6. Step 6: Final answer
    x = 224.58

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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.