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Finding the Fourth Proportional to 146.49, 219.83 and 97.80

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Solution

The fourth proportional to 146.49, 219.83 and 97.80 is: 146.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.49 : 219.83 = 97.80 : x
  2. Step 2: Convert to fraction form
    146.49/219.83 = 97.80/x
  3. Step 3: Cross multiply
    146.49x = 219.83 × 97.80
  4. Step 4: Simplify right side
    146.49x = 21,498.52
  5. Step 5: Solve for x
    x = 21,498.52/146.49
  6. Step 6: Final answer
    x = 146.76

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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.