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Finding the Fourth Proportional to 146.12, 219.34 and 123.40

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Solution

The fourth proportional to 146.12, 219.34 and 123.40 is: 185.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.12 : 219.34 = 123.40 : x
  2. Step 2: Convert to fraction form
    146.12/219.34 = 123.40/x
  3. Step 3: Cross multiply
    146.12x = 219.34 × 123.40
  4. Step 4: Simplify right side
    146.12x = 27,066.56
  5. Step 5: Solve for x
    x = 27,066.56/146.12
  6. Step 6: Final answer
    x = 185.24

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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.