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Finding the Fourth Proportional to 146.92, 219.44 and 122.89

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Solution

The fourth proportional to 146.92, 219.44 and 122.89 is: 183.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.92 : 219.44 = 122.89 : x
  2. Step 2: Convert to fraction form
    146.92/219.44 = 122.89/x
  3. Step 3: Cross multiply
    146.92x = 219.44 × 122.89
  4. Step 4: Simplify right side
    146.92x = 26,966.98
  5. Step 5: Solve for x
    x = 26,966.98/146.92
  6. Step 6: Final answer
    x = 183.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.