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Finding the Fourth Proportional to 231.99, 320.11 and 149.11

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Solution

The fourth proportional to 231.99, 320.11 and 149.11 is: 205.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.99 : 320.11 = 149.11 : x
  2. Step 2: Convert to fraction form
    231.99/320.11 = 149.11/x
  3. Step 3: Cross multiply
    231.99x = 320.11 × 149.11
  4. Step 4: Simplify right side
    231.99x = 47,730.99
  5. Step 5: Solve for x
    x = 47,730.99/231.99
  6. Step 6: Final answer
    x = 205.75

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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.