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Finding the Fourth Proportional to 294.75, 441.93 and 140.70

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Solution

The fourth proportional to 294.75, 441.93 and 140.70 is: 210.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.75 : 441.93 = 140.70 : x
  2. Step 2: Convert to fraction form
    294.75/441.93 = 140.70/x
  3. Step 3: Cross multiply
    294.75x = 441.93 × 140.70
  4. Step 4: Simplify right side
    294.75x = 62,179.55
  5. Step 5: Solve for x
    x = 62,179.55/294.75
  6. Step 6: Final answer
    x = 210.96

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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.