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Finding the Fourth Proportional to 294.46, 441.76 and 132.24

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Solution

The fourth proportional to 294.46, 441.76 and 132.24 is: 198.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.46 : 441.76 = 132.24 : x
  2. Step 2: Convert to fraction form
    294.46/441.76 = 132.24/x
  3. Step 3: Cross multiply
    294.46x = 441.76 × 132.24
  4. Step 4: Simplify right side
    294.46x = 58,418.34
  5. Step 5: Solve for x
    x = 58,418.34/294.46
  6. Step 6: Final answer
    x = 198.39

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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.