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Finding the Fourth Proportional to 200.04, 276.24 and 142.02

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Solution

The fourth proportional to 200.04, 276.24 and 142.02 is: 196.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.04 : 276.24 = 142.02 : x
  2. Step 2: Convert to fraction form
    200.04/276.24 = 142.02/x
  3. Step 3: Cross multiply
    200.04x = 276.24 × 142.02
  4. Step 4: Simplify right side
    200.04x = 39,231.60
  5. Step 5: Solve for x
    x = 39,231.60/200.04
  6. Step 6: Final answer
    x = 196.12

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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.