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Finding the Fourth Proportional to 200.81, 301.25 and 63.82

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Solution

The fourth proportional to 200.81, 301.25 and 63.82 is: 95.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.81 : 301.25 = 63.82 : x
  2. Step 2: Convert to fraction form
    200.81/301.25 = 63.82/x
  3. Step 3: Cross multiply
    200.81x = 301.25 × 63.82
  4. Step 4: Simplify right side
    200.81x = 19,225.78
  5. Step 5: Solve for x
    x = 19,225.78/200.81
  6. Step 6: Final answer
    x = 95.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.