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Finding the Fourth Proportional to 252.56, 348.47 and 178.75

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Solution

The fourth proportional to 252.56, 348.47 and 178.75 is: 246.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.56 : 348.47 = 178.75 : x
  2. Step 2: Convert to fraction form
    252.56/348.47 = 178.75/x
  3. Step 3: Cross multiply
    252.56x = 348.47 × 178.75
  4. Step 4: Simplify right side
    252.56x = 62,289.22
  5. Step 5: Solve for x
    x = 62,289.22/252.56
  6. Step 6: Final answer
    x = 246.63

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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.