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Finding the Fourth Proportional to 200.24, 276.40 and 169.44

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Solution

The fourth proportional to 200.24, 276.40 and 169.44 is: 233.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.24 : 276.40 = 169.44 : x
  2. Step 2: Convert to fraction form
    200.24/276.40 = 169.44/x
  3. Step 3: Cross multiply
    200.24x = 276.40 × 169.44
  4. Step 4: Simplify right side
    200.24x = 46,833.22
  5. Step 5: Solve for x
    x = 46,833.22/200.24
  6. Step 6: Final answer
    x = 233.89

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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.