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Finding the Fourth Proportional to 294.17, 441.29 and 111.62

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Solution

The fourth proportional to 294.17, 441.29 and 111.62 is: 167.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.17 : 441.29 = 111.62 : x
  2. Step 2: Convert to fraction form
    294.17/441.29 = 111.62/x
  3. Step 3: Cross multiply
    294.17x = 441.29 × 111.62
  4. Step 4: Simplify right side
    294.17x = 49,255.69
  5. Step 5: Solve for x
    x = 49,255.69/294.17
  6. Step 6: Final answer
    x = 167.44

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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.