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Finding the Fourth Proportional to 146.82, 220.42 and 146.16

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Solution

The fourth proportional to 146.82, 220.42 and 146.16 is: 219.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.82 : 220.42 = 146.16 : x
  2. Step 2: Convert to fraction form
    146.82/220.42 = 146.16/x
  3. Step 3: Cross multiply
    146.82x = 220.42 × 146.16
  4. Step 4: Simplify right side
    146.82x = 32,216.59
  5. Step 5: Solve for x
    x = 32,216.59/146.82
  6. Step 6: Final answer
    x = 219.43

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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.