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Finding the Fourth Proportional to 294.33, 441.63 and 140.43

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Solution

The fourth proportional to 294.33, 441.63 and 140.43 is: 210.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.33 : 441.63 = 140.43 : x
  2. Step 2: Convert to fraction form
    294.33/441.63 = 140.43/x
  3. Step 3: Cross multiply
    294.33x = 441.63 × 140.43
  4. Step 4: Simplify right side
    294.33x = 62,018.10
  5. Step 5: Solve for x
    x = 62,018.10/294.33
  6. Step 6: Final answer
    x = 210.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.