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Finding the Fourth Proportional to 296.81, 444.92 and 142.70

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Solution

The fourth proportional to 296.81, 444.92 and 142.70 is: 213.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.81 : 444.92 = 142.70 : x
  2. Step 2: Convert to fraction form
    296.81/444.92 = 142.70/x
  3. Step 3: Cross multiply
    296.81x = 444.92 × 142.70
  4. Step 4: Simplify right side
    296.81x = 63,488.22
  5. Step 5: Solve for x
    x = 63,488.22/296.81
  6. Step 6: Final answer
    x = 213.90

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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.