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Finding the Fourth Proportional to 295.92, 443.27 and 149.46

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Solution

The fourth proportional to 295.92, 443.27 and 149.46 is: 223.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.92 : 443.27 = 149.46 : x
  2. Step 2: Convert to fraction form
    295.92/443.27 = 149.46/x
  3. Step 3: Cross multiply
    295.92x = 443.27 × 149.46
  4. Step 4: Simplify right side
    295.92x = 66,251.13
  5. Step 5: Solve for x
    x = 66,251.13/295.92
  6. Step 6: Final answer
    x = 223.89

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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.