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Finding the Fourth Proportional to 373.23, 559.01 and 199.59

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Solution

The fourth proportional to 373.23, 559.01 and 199.59 is: 298.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.23 : 559.01 = 199.59 : x
  2. Step 2: Convert to fraction form
    373.23/559.01 = 199.59/x
  3. Step 3: Cross multiply
    373.23x = 559.01 × 199.59
  4. Step 4: Simplify right side
    373.23x = 111,571.81
  5. Step 5: Solve for x
    x = 111,571.81/373.23
  6. Step 6: Final answer
    x = 298.94

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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.