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Finding the Fourth Proportional to 353.78, 529.99 and 199.24

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Solution

The fourth proportional to 353.78, 529.99 and 199.24 is: 298.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.78 : 529.99 = 199.24 : x
  2. Step 2: Convert to fraction form
    353.78/529.99 = 199.24/x
  3. Step 3: Cross multiply
    353.78x = 529.99 × 199.24
  4. Step 4: Simplify right side
    353.78x = 105,593.38
  5. Step 5: Solve for x
    x = 105,593.38/353.78
  6. Step 6: Final answer
    x = 298.47

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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.