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Finding the Fourth Proportional to 293.86, 441.04 and 149.62

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Solution

The fourth proportional to 293.86, 441.04 and 149.62 is: 224.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.86 : 441.04 = 149.62 : x
  2. Step 2: Convert to fraction form
    293.86/441.04 = 149.62/x
  3. Step 3: Cross multiply
    293.86x = 441.04 × 149.62
  4. Step 4: Simplify right side
    293.86x = 65,988.40
  5. Step 5: Solve for x
    x = 65,988.40/293.86
  6. Step 6: Final answer
    x = 224.56

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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.