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Finding the Fourth Proportional to 336.65, 504.46 and 199.42

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Solution

The fourth proportional to 336.65, 504.46 and 199.42 is: 298.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.65 : 504.46 = 199.42 : x
  2. Step 2: Convert to fraction form
    336.65/504.46 = 199.42/x
  3. Step 3: Cross multiply
    336.65x = 504.46 × 199.42
  4. Step 4: Simplify right side
    336.65x = 100,598.40
  5. Step 5: Solve for x
    x = 100,598.40/336.65
  6. Step 6: Final answer
    x = 298.83

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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.