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Finding the Fourth Proportional to 252.27, 347.58 and 178.44

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Solution

The fourth proportional to 252.27, 347.58 and 178.44 is: 245.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.27 : 347.58 = 178.44 : x
  2. Step 2: Convert to fraction form
    252.27/347.58 = 178.44/x
  3. Step 3: Cross multiply
    252.27x = 347.58 × 178.44
  4. Step 4: Simplify right side
    252.27x = 62,022.18
  5. Step 5: Solve for x
    x = 62,022.18/252.27
  6. Step 6: Final answer
    x = 245.86

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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.