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Finding the Fourth Proportional to 199.63, 299.26 and 89.83

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Solution

The fourth proportional to 199.63, 299.26 and 89.83 is: 134.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.63 : 299.26 = 89.83 : x
  2. Step 2: Convert to fraction form
    199.63/299.26 = 89.83/x
  3. Step 3: Cross multiply
    199.63x = 299.26 × 89.83
  4. Step 4: Simplify right side
    199.63x = 26,882.53
  5. Step 5: Solve for x
    x = 26,882.53/199.63
  6. Step 6: Final answer
    x = 134.66

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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.