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Finding the Fourth Proportional to 198.06, 296.81 and 146.62

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Solution

The fourth proportional to 198.06, 296.81 and 146.62 is: 219.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.06 : 296.81 = 146.62 : x
  2. Step 2: Convert to fraction form
    198.06/296.81 = 146.62/x
  3. Step 3: Cross multiply
    198.06x = 296.81 × 146.62
  4. Step 4: Simplify right side
    198.06x = 43,518.28
  5. Step 5: Solve for x
    x = 43,518.28/198.06
  6. Step 6: Final answer
    x = 219.72

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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.