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Finding the Fourth Proportional to 199.82, 299.33 and 102.19

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Solution

The fourth proportional to 199.82, 299.33 and 102.19 is: 153.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.82 : 299.33 = 102.19 : x
  2. Step 2: Convert to fraction form
    199.82/299.33 = 102.19/x
  3. Step 3: Cross multiply
    199.82x = 299.33 × 102.19
  4. Step 4: Simplify right side
    199.82x = 30,586.53
  5. Step 5: Solve for x
    x = 30,586.53/199.82
  6. Step 6: Final answer
    x = 153.07

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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.