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Finding the Fourth Proportional to 199.14, 299.25 and 103.02

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Solution

The fourth proportional to 199.14, 299.25 and 103.02 is: 154.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.14 : 299.25 = 103.02 : x
  2. Step 2: Convert to fraction form
    199.14/299.25 = 103.02/x
  3. Step 3: Cross multiply
    199.14x = 299.25 × 103.02
  4. Step 4: Simplify right side
    199.14x = 30,828.74
  5. Step 5: Solve for x
    x = 30,828.74/199.14
  6. Step 6: Final answer
    x = 154.81

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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.