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Finding the Fourth Proportional to 207.27, 284.33 and 194.85

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Solution

The fourth proportional to 207.27, 284.33 and 194.85 is: 267.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.27 : 284.33 = 194.85 : x
  2. Step 2: Convert to fraction form
    207.27/284.33 = 194.85/x
  3. Step 3: Cross multiply
    207.27x = 284.33 × 194.85
  4. Step 4: Simplify right side
    207.27x = 55,402.19
  5. Step 5: Solve for x
    x = 55,402.19/207.27
  6. Step 6: Final answer
    x = 267.29

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.