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Finding the Fourth Proportional to 199.59, 299.11 and 148.56

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Solution

The fourth proportional to 199.59, 299.11 and 148.56 is: 222.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.59 : 299.11 = 148.56 : x
  2. Step 2: Convert to fraction form
    199.59/299.11 = 148.56/x
  3. Step 3: Cross multiply
    199.59x = 299.11 × 148.56
  4. Step 4: Simplify right side
    199.59x = 44,435.78
  5. Step 5: Solve for x
    x = 44,435.78/199.59
  6. Step 6: Final answer
    x = 222.64

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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.