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Finding the Fourth Proportional to 207.61, 286.26 and 195.05

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Solution

The fourth proportional to 207.61, 286.26 and 195.05 is: 268.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.61 : 286.26 = 195.05 : x
  2. Step 2: Convert to fraction form
    207.61/286.26 = 195.05/x
  3. Step 3: Cross multiply
    207.61x = 286.26 × 195.05
  4. Step 4: Simplify right side
    207.61x = 55,835.01
  5. Step 5: Solve for x
    x = 55,835.01/207.61
  6. Step 6: Final answer
    x = 268.94

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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.