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Finding the Fourth Proportional to 146.82, 220.02 and 135.42

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Solution

The fourth proportional to 146.82, 220.02 and 135.42 is: 202.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.82 : 220.02 = 135.42 : x
  2. Step 2: Convert to fraction form
    146.82/220.02 = 135.42/x
  3. Step 3: Cross multiply
    146.82x = 220.02 × 135.42
  4. Step 4: Simplify right side
    146.82x = 29,795.11
  5. Step 5: Solve for x
    x = 29,795.11/146.82
  6. Step 6: Final answer
    x = 202.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.