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Finding the Fourth Proportional to 336.17, 504.63 and 199.49

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Solution

The fourth proportional to 336.17, 504.63 and 199.49 is: 299.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.17 : 504.63 = 199.49 : x
  2. Step 2: Convert to fraction form
    336.17/504.63 = 199.49/x
  3. Step 3: Cross multiply
    336.17x = 504.63 × 199.49
  4. Step 4: Simplify right side
    336.17x = 100,665.12
  5. Step 5: Solve for x
    x = 100,665.12/336.17
  6. Step 6: Final answer
    x = 299.45

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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.