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Finding the Fourth Proportional to 252.59, 375.71 and 231.94

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Solution

The fourth proportional to 252.59, 375.71 and 231.94 is: 344.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.59 : 375.71 = 231.94 : x
  2. Step 2: Convert to fraction form
    252.59/375.71 = 231.94/x
  3. Step 3: Cross multiply
    252.59x = 375.71 × 231.94
  4. Step 4: Simplify right side
    252.59x = 87,142.18
  5. Step 5: Solve for x
    x = 87,142.18/252.59
  6. Step 6: Final answer
    x = 344.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.