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Finding the Fourth Proportional to 146.23, 218.98 and 144.79

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Solution

The fourth proportional to 146.23, 218.98 and 144.79 is: 216.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.23 : 218.98 = 144.79 : x
  2. Step 2: Convert to fraction form
    146.23/218.98 = 144.79/x
  3. Step 3: Cross multiply
    146.23x = 218.98 × 144.79
  4. Step 4: Simplify right side
    146.23x = 31,706.11
  5. Step 5: Solve for x
    x = 31,706.11/146.23
  6. Step 6: Final answer
    x = 216.82

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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.