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Finding the Fourth Proportional to 296.69, 445.13 and 114.11

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Solution

The fourth proportional to 296.69, 445.13 and 114.11 is: 171.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.69 : 445.13 = 114.11 : x
  2. Step 2: Convert to fraction form
    296.69/445.13 = 114.11/x
  3. Step 3: Cross multiply
    296.69x = 445.13 × 114.11
  4. Step 4: Simplify right side
    296.69x = 50,793.78
  5. Step 5: Solve for x
    x = 50,793.78/296.69
  6. Step 6: Final answer
    x = 171.20

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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.