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Finding the Fourth Proportional to 355.49, 533.49 and 199.15

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Solution

The fourth proportional to 355.49, 533.49 and 199.15 is: 298.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.49 : 533.49 = 199.15 : x
  2. Step 2: Convert to fraction form
    355.49/533.49 = 199.15/x
  3. Step 3: Cross multiply
    355.49x = 533.49 × 199.15
  4. Step 4: Simplify right side
    355.49x = 106,245.45
  5. Step 5: Solve for x
    x = 106,245.45/355.49
  6. Step 6: Final answer
    x = 298.87

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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.