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Finding the Fourth Proportional to 373.45, 559.51 and 199.75

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Solution

The fourth proportional to 373.45, 559.51 and 199.75 is: 299.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.45 : 559.51 = 199.75 : x
  2. Step 2: Convert to fraction form
    373.45/559.51 = 199.75/x
  3. Step 3: Cross multiply
    373.45x = 559.51 × 199.75
  4. Step 4: Simplify right side
    373.45x = 111,762.12
  5. Step 5: Solve for x
    x = 111,762.12/373.45
  6. Step 6: Final answer
    x = 299.27

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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.