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Finding the Fourth Proportional to 353.54, 529.84 and 199.41

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Solution

The fourth proportional to 353.54, 529.84 and 199.41 is: 298.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.54 : 529.84 = 199.41 : x
  2. Step 2: Convert to fraction form
    353.54/529.84 = 199.41/x
  3. Step 3: Cross multiply
    353.54x = 529.84 × 199.41
  4. Step 4: Simplify right side
    353.54x = 105,653.66
  5. Step 5: Solve for x
    x = 105,653.66/353.54
  6. Step 6: Final answer
    x = 298.84

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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.