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Finding the Fourth Proportional to 353.65, 529.80 and 199.11

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Solution

The fourth proportional to 353.65, 529.80 and 199.11 is: 298.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.65 : 529.80 = 199.11 : x
  2. Step 2: Convert to fraction form
    353.65/529.80 = 199.11/x
  3. Step 3: Cross multiply
    353.65x = 529.80 × 199.11
  4. Step 4: Simplify right side
    353.65x = 105,488.48
  5. Step 5: Solve for x
    x = 105,488.48/353.65
  6. Step 6: Final answer
    x = 298.28

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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.