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Finding the Fourth Proportional to 200.32, 276.33 and 142

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Solution

The fourth proportional to 200.32, 276.33 and 142 is: 195.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.32 : 276.33 = 142 : x
  2. Step 2: Convert to fraction form
    200.32/276.33 = 142/x
  3. Step 3: Cross multiply
    200.32x = 276.33 × 142
  4. Step 4: Simplify right side
    200.32x = 39,238.86
  5. Step 5: Solve for x
    x = 39,238.86/200.32
  6. Step 6: Final answer
    x = 195.88

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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.