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Finding the Fourth Proportional to 231.99, 320.22 and 133.82

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Solution

The fourth proportional to 231.99, 320.22 and 133.82 is: 184.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.99 : 320.22 = 133.82 : x
  2. Step 2: Convert to fraction form
    231.99/320.22 = 133.82/x
  3. Step 3: Cross multiply
    231.99x = 320.22 × 133.82
  4. Step 4: Simplify right side
    231.99x = 42,850.24
  5. Step 5: Solve for x
    x = 42,850.24/231.99
  6. Step 6: Final answer
    x = 184.70

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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.