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Finding the Fourth Proportional to 336.80, 504.84 and 199.82

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Solution

The fourth proportional to 336.80, 504.84 and 199.82 is: 299.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.80 : 504.84 = 199.82 : x
  2. Step 2: Convert to fraction form
    336.80/504.84 = 199.82/x
  3. Step 3: Cross multiply
    336.80x = 504.84 × 199.82
  4. Step 4: Simplify right side
    336.80x = 100,877.13
  5. Step 5: Solve for x
    x = 100,877.13/336.80
  6. Step 6: Final answer
    x = 299.52

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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.