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Finding the Fourth Proportional to 296.24, 443.96 and 142

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Solution

The fourth proportional to 296.24, 443.96 and 142 is: 212.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.24 : 443.96 = 142 : x
  2. Step 2: Convert to fraction form
    296.24/443.96 = 142/x
  3. Step 3: Cross multiply
    296.24x = 443.96 × 142
  4. Step 4: Simplify right side
    296.24x = 63,042.32
  5. Step 5: Solve for x
    x = 63,042.32/296.24
  6. Step 6: Final answer
    x = 212.81

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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.