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Finding the Fourth Proportional to 200.72, 301.08 and 63.77

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Solution

The fourth proportional to 200.72, 301.08 and 63.77 is: 95.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.72 : 301.08 = 63.77 : x
  2. Step 2: Convert to fraction form
    200.72/301.08 = 63.77/x
  3. Step 3: Cross multiply
    200.72x = 301.08 × 63.77
  4. Step 4: Simplify right side
    200.72x = 19,198.05
  5. Step 5: Solve for x
    x = 19,198.05/200.72
  6. Step 6: Final answer
    x = 95.65

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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.