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Finding the Fourth Proportional to 231.87, 319.94 and 149.05

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Solution

The fourth proportional to 231.87, 319.94 and 149.05 is: 205.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.87 : 319.94 = 149.05 : x
  2. Step 2: Convert to fraction form
    231.87/319.94 = 149.05/x
  3. Step 3: Cross multiply
    231.87x = 319.94 × 149.05
  4. Step 4: Simplify right side
    231.87x = 47,687.06
  5. Step 5: Solve for x
    x = 47,687.06/231.87
  6. Step 6: Final answer
    x = 205.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.