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Finding the Fourth Proportional to 178.63, 246.44 and 120.45

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Solution

The fourth proportional to 178.63, 246.44 and 120.45 is: 166.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.63 : 246.44 = 120.45 : x
  2. Step 2: Convert to fraction form
    178.63/246.44 = 120.45/x
  3. Step 3: Cross multiply
    178.63x = 246.44 × 120.45
  4. Step 4: Simplify right side
    178.63x = 29,683.70
  5. Step 5: Solve for x
    x = 29,683.70/178.63
  6. Step 6: Final answer
    x = 166.17

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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.