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Finding the Fourth Proportional to 200.24, 276.34 and 142.04

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Solution

The fourth proportional to 200.24, 276.34 and 142.04 is: 196.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.24 : 276.34 = 142.04 : x
  2. Step 2: Convert to fraction form
    200.24/276.34 = 142.04/x
  3. Step 3: Cross multiply
    200.24x = 276.34 × 142.04
  4. Step 4: Simplify right side
    200.24x = 39,251.33
  5. Step 5: Solve for x
    x = 39,251.33/200.24
  6. Step 6: Final answer
    x = 196.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.