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Finding the Fourth Proportional to 336.37, 503.70 and 199.52

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Solution

The fourth proportional to 336.37, 503.70 and 199.52 is: 298.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.37 : 503.70 = 199.52 : x
  2. Step 2: Convert to fraction form
    336.37/503.70 = 199.52/x
  3. Step 3: Cross multiply
    336.37x = 503.70 × 199.52
  4. Step 4: Simplify right side
    336.37x = 100,494.96
  5. Step 5: Solve for x
    x = 100,494.96/336.37
  6. Step 6: Final answer
    x = 298.76

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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.