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Finding the Fourth Proportional to 373.14, 559.40 and 199.71

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Solution

The fourth proportional to 373.14, 559.40 and 199.71 is: 299.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.14 : 559.40 = 199.71 : x
  2. Step 2: Convert to fraction form
    373.14/559.40 = 199.71/x
  3. Step 3: Cross multiply
    373.14x = 559.40 × 199.71
  4. Step 4: Simplify right side
    373.14x = 111,716.78
  5. Step 5: Solve for x
    x = 111,716.78/373.14
  6. Step 6: Final answer
    x = 299.40

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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.