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Finding the Fourth Proportional to 146.36, 218.25 and 136.43

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Solution

The fourth proportional to 146.36, 218.25 and 136.43 is: 203.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.36 : 218.25 = 136.43 : x
  2. Step 2: Convert to fraction form
    146.36/218.25 = 136.43/x
  3. Step 3: Cross multiply
    146.36x = 218.25 × 136.43
  4. Step 4: Simplify right side
    146.36x = 29,775.17
  5. Step 5: Solve for x
    x = 29,775.17/146.36
  6. Step 6: Final answer
    x = 203.44

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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.