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Finding the Fourth Proportional to 296.70, 444.75 and 114.05

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Solution

The fourth proportional to 296.70, 444.75 and 114.05 is: 170.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.70 : 444.75 = 114.05 : x
  2. Step 2: Convert to fraction form
    296.70/444.75 = 114.05/x
  3. Step 3: Cross multiply
    296.70x = 444.75 × 114.05
  4. Step 4: Simplify right side
    296.70x = 50,723.74
  5. Step 5: Solve for x
    x = 50,723.74/296.70
  6. Step 6: Final answer
    x = 170.96

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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.