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Finding the Fourth Proportional to 336.35, 504.72 and 199.66

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Solution

The fourth proportional to 336.35, 504.72 and 199.66 is: 299.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.35 : 504.72 = 199.66 : x
  2. Step 2: Convert to fraction form
    336.35/504.72 = 199.66/x
  3. Step 3: Cross multiply
    336.35x = 504.72 × 199.66
  4. Step 4: Simplify right side
    336.35x = 100,772.40
  5. Step 5: Solve for x
    x = 100,772.40/336.35
  6. Step 6: Final answer
    x = 299.61

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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.