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Finding the Fourth Proportional to 146.96, 219.12 and 141.44

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Solution

The fourth proportional to 146.96, 219.12 and 141.44 is: 210.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.96 : 219.12 = 141.44 : x
  2. Step 2: Convert to fraction form
    146.96/219.12 = 141.44/x
  3. Step 3: Cross multiply
    146.96x = 219.12 × 141.44
  4. Step 4: Simplify right side
    146.96x = 30,992.33
  5. Step 5: Solve for x
    x = 30,992.33/146.96
  6. Step 6: Final answer
    x = 210.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.