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Finding the Fourth Proportional to 247.17, 341.06 and 142.24

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Solution

The fourth proportional to 247.17, 341.06 and 142.24 is: 196.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.17 : 341.06 = 142.24 : x
  2. Step 2: Convert to fraction form
    247.17/341.06 = 142.24/x
  3. Step 3: Cross multiply
    247.17x = 341.06 × 142.24
  4. Step 4: Simplify right side
    247.17x = 48,511.88
  5. Step 5: Solve for x
    x = 48,511.88/247.17
  6. Step 6: Final answer
    x = 196.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.