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Finding the Fourth Proportional to 247.20, 370.78 and 178.84

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Solution

The fourth proportional to 247.20, 370.78 and 178.84 is: 268.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.20 : 370.78 = 178.84 : x
  2. Step 2: Convert to fraction form
    247.20/370.78 = 178.84/x
  3. Step 3: Cross multiply
    247.20x = 370.78 × 178.84
  4. Step 4: Simplify right side
    247.20x = 66,310.30
  5. Step 5: Solve for x
    x = 66,310.30/247.20
  6. Step 6: Final answer
    x = 268.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.