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Finding the Fourth Proportional to 309.02, 463.83 and 199.37

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Solution

The fourth proportional to 309.02, 463.83 and 199.37 is: 299.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.02 : 463.83 = 199.37 : x
  2. Step 2: Convert to fraction form
    309.02/463.83 = 199.37/x
  3. Step 3: Cross multiply
    309.02x = 463.83 × 199.37
  4. Step 4: Simplify right side
    309.02x = 92,471.47
  5. Step 5: Solve for x
    x = 92,471.47/309.02
  6. Step 6: Final answer
    x = 299.25

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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.