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Finding the Fourth Proportional to 294.46, 441.52 and 88.97

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Solution

The fourth proportional to 294.46, 441.52 and 88.97 is: 133.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.46 : 441.52 = 88.97 : x
  2. Step 2: Convert to fraction form
    294.46/441.52 = 88.97/x
  3. Step 3: Cross multiply
    294.46x = 441.52 × 88.97
  4. Step 4: Simplify right side
    294.46x = 39,279.60
  5. Step 5: Solve for x
    x = 39,279.60/294.46
  6. Step 6: Final answer
    x = 133.40

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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.