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Finding the Fourth Proportional to 200.40, 276.39 and 142.08

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Solution

The fourth proportional to 200.40, 276.39 and 142.08 is: 195.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.40 : 276.39 = 142.08 : x
  2. Step 2: Convert to fraction form
    200.40/276.39 = 142.08/x
  3. Step 3: Cross multiply
    200.40x = 276.39 × 142.08
  4. Step 4: Simplify right side
    200.40x = 39,269.49
  5. Step 5: Solve for x
    x = 39,269.49/200.40
  6. Step 6: Final answer
    x = 195.96

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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.