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Finding the Fourth Proportional to 200.20, 276.42 and 142.06

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Solution

The fourth proportional to 200.20, 276.42 and 142.06 is: 196.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.20 : 276.42 = 142.06 : x
  2. Step 2: Convert to fraction form
    200.20/276.42 = 142.06/x
  3. Step 3: Cross multiply
    200.20x = 276.42 × 142.06
  4. Step 4: Simplify right side
    200.20x = 39,268.23
  5. Step 5: Solve for x
    x = 39,268.23/200.20
  6. Step 6: Final answer
    x = 196.14

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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.