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Finding the Fourth Proportional to 252.44, 348.26 and 178.73

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Solution

The fourth proportional to 252.44, 348.26 and 178.73 is: 246.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.44 : 348.26 = 178.73 : x
  2. Step 2: Convert to fraction form
    252.44/348.26 = 178.73/x
  3. Step 3: Cross multiply
    252.44x = 348.26 × 178.73
  4. Step 4: Simplify right side
    252.44x = 62,244.51
  5. Step 5: Solve for x
    x = 62,244.51/252.44
  6. Step 6: Final answer
    x = 246.57

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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.