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Finding the Fourth Proportional to 200.16, 299.92 and 91.80

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Solution

The fourth proportional to 200.16, 299.92 and 91.80 is: 137.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.16 : 299.92 = 91.80 : x
  2. Step 2: Convert to fraction form
    200.16/299.92 = 91.80/x
  3. Step 3: Cross multiply
    200.16x = 299.92 × 91.80
  4. Step 4: Simplify right side
    200.16x = 27,532.66
  5. Step 5: Solve for x
    x = 27,532.66/200.16
  6. Step 6: Final answer
    x = 137.55

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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.