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Finding the Fourth Proportional to 199.61, 299.62 and 113.00

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Solution

The fourth proportional to 199.61, 299.62 and 113.00 is: 169.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.61 : 299.62 = 113.00 : x
  2. Step 2: Convert to fraction form
    199.61/299.62 = 113.00/x
  3. Step 3: Cross multiply
    199.61x = 299.62 × 113.00
  4. Step 4: Simplify right side
    199.61x = 33,857.53
  5. Step 5: Solve for x
    x = 33,857.53/199.61
  6. Step 6: Final answer
    x = 169.62

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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.