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Finding the Fourth Proportional to 231.93, 319.78 and 199.13

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Solution

The fourth proportional to 231.93, 319.78 and 199.13 is: 274.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.93 : 319.78 = 199.13 : x
  2. Step 2: Convert to fraction form
    231.93/319.78 = 199.13/x
  3. Step 3: Cross multiply
    231.93x = 319.78 × 199.13
  4. Step 4: Simplify right side
    231.93x = 63,677.79
  5. Step 5: Solve for x
    x = 63,677.79/231.93
  6. Step 6: Final answer
    x = 274.56

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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.