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Finding the Fourth Proportional to 178.49, 246.12 and 120.17

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Solution

The fourth proportional to 178.49, 246.12 and 120.17 is: 165.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.49 : 246.12 = 120.17 : x
  2. Step 2: Convert to fraction form
    178.49/246.12 = 120.17/x
  3. Step 3: Cross multiply
    178.49x = 246.12 × 120.17
  4. Step 4: Simplify right side
    178.49x = 29,576.24
  5. Step 5: Solve for x
    x = 29,576.24/178.49
  6. Step 6: Final answer
    x = 165.70

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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.