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Finding the Fourth Proportional to 199.09, 298.45 and 70.77

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Solution

The fourth proportional to 199.09, 298.45 and 70.77 is: 106.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.09 : 298.45 = 70.77 : x
  2. Step 2: Convert to fraction form
    199.09/298.45 = 70.77/x
  3. Step 3: Cross multiply
    199.09x = 298.45 × 70.77
  4. Step 4: Simplify right side
    199.09x = 21,121.31
  5. Step 5: Solve for x
    x = 21,121.31/199.09
  6. Step 6: Final answer
    x = 106.09

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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.