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Finding the Fourth Proportional to 199.67, 299.14 and 102.06

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Solution

The fourth proportional to 199.67, 299.14 and 102.06 is: 152.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.67 : 299.14 = 102.06 : x
  2. Step 2: Convert to fraction form
    199.67/299.14 = 102.06/x
  3. Step 3: Cross multiply
    199.67x = 299.14 × 102.06
  4. Step 4: Simplify right side
    199.67x = 30,529.97
  5. Step 5: Solve for x
    x = 30,529.97/199.67
  6. Step 6: Final answer
    x = 152.91

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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.