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Finding the Fourth Proportional to 207.48, 311.01 and 91.99

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Solution

The fourth proportional to 207.48, 311.01 and 91.99 is: 137.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.48 : 311.01 = 91.99 : x
  2. Step 2: Convert to fraction form
    207.48/311.01 = 91.99/x
  3. Step 3: Cross multiply
    207.48x = 311.01 × 91.99
  4. Step 4: Simplify right side
    207.48x = 28,609.03
  5. Step 5: Solve for x
    x = 28,609.03/207.48
  6. Step 6: Final answer
    x = 137.89

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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.