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Finding the Fourth Proportional to 199.26, 297.81 and 147.96

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Solution

The fourth proportional to 199.26, 297.81 and 147.96 is: 221.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.26 : 297.81 = 147.96 : x
  2. Step 2: Convert to fraction form
    199.26/297.81 = 147.96/x
  3. Step 3: Cross multiply
    199.26x = 297.81 × 147.96
  4. Step 4: Simplify right side
    199.26x = 44,063.97
  5. Step 5: Solve for x
    x = 44,063.97/199.26
  6. Step 6: Final answer
    x = 221.14

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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.