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Finding the Fourth Proportional to 296.14, 444.21 and 142.06

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Solution

The fourth proportional to 296.14, 444.21 and 142.06 is: 213.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.14 : 444.21 = 142.06 : x
  2. Step 2: Convert to fraction form
    296.14/444.21 = 142.06/x
  3. Step 3: Cross multiply
    296.14x = 444.21 × 142.06
  4. Step 4: Simplify right side
    296.14x = 63,104.47
  5. Step 5: Solve for x
    x = 63,104.47/296.14
  6. Step 6: Final answer
    x = 213.09

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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.