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Finding the Fourth Proportional to 200.25, 276.57 and 167.85

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Solution

The fourth proportional to 200.25, 276.57 and 167.85 is: 231.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.25 : 276.57 = 167.85 : x
  2. Step 2: Convert to fraction form
    200.25/276.57 = 167.85/x
  3. Step 3: Cross multiply
    200.25x = 276.57 × 167.85
  4. Step 4: Simplify right side
    200.25x = 46,422.27
  5. Step 5: Solve for x
    x = 46,422.27/200.25
  6. Step 6: Final answer
    x = 231.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.