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Finding the Fourth Proportional to 336.49, 503.65 and 199.20

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Solution

The fourth proportional to 336.49, 503.65 and 199.20 is: 298.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.49 : 503.65 = 199.20 : x
  2. Step 2: Convert to fraction form
    336.49/503.65 = 199.20/x
  3. Step 3: Cross multiply
    336.49x = 503.65 × 199.20
  4. Step 4: Simplify right side
    336.49x = 100,327.08
  5. Step 5: Solve for x
    x = 100,327.08/336.49
  6. Step 6: Final answer
    x = 298.16

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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.