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Finding the Fourth Proportional to 231.52, 318.40 and 199.84

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Solution

The fourth proportional to 231.52, 318.40 and 199.84 is: 274.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.52 : 318.40 = 199.84 : x
  2. Step 2: Convert to fraction form
    231.52/318.40 = 199.84/x
  3. Step 3: Cross multiply
    231.52x = 318.40 × 199.84
  4. Step 4: Simplify right side
    231.52x = 63,629.06
  5. Step 5: Solve for x
    x = 63,629.06/231.52
  6. Step 6: Final answer
    x = 274.83

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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.