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Finding the Fourth Proportional to 247.62, 371.18 and 178.98

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Solution

The fourth proportional to 247.62, 371.18 and 178.98 is: 268.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.62 : 371.18 = 178.98 : x
  2. Step 2: Convert to fraction form
    247.62/371.18 = 178.98/x
  3. Step 3: Cross multiply
    247.62x = 371.18 × 178.98
  4. Step 4: Simplify right side
    247.62x = 66,431.94
  5. Step 5: Solve for x
    x = 66,431.94/247.62
  6. Step 6: Final answer
    x = 268.28

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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.