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Finding the Fourth Proportional to 296.68, 445.06 and 114.13

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Solution

The fourth proportional to 296.68, 445.06 and 114.13 is: 171.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.68 : 445.06 = 114.13 : x
  2. Step 2: Convert to fraction form
    296.68/445.06 = 114.13/x
  3. Step 3: Cross multiply
    296.68x = 445.06 × 114.13
  4. Step 4: Simplify right side
    296.68x = 50,794.70
  5. Step 5: Solve for x
    x = 50,794.70/296.68
  6. Step 6: Final answer
    x = 171.21

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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.