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Finding the Fourth Proportional to 200.76, 277.02 and 142.62

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Solution

The fourth proportional to 200.76, 277.02 and 142.62 is: 196.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.76 : 277.02 = 142.62 : x
  2. Step 2: Convert to fraction form
    200.76/277.02 = 142.62/x
  3. Step 3: Cross multiply
    200.76x = 277.02 × 142.62
  4. Step 4: Simplify right side
    200.76x = 39,508.59
  5. Step 5: Solve for x
    x = 39,508.59/200.76
  6. Step 6: Final answer
    x = 196.80

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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.