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Finding the Fourth Proportional to 303.83, 455.42 and 199.68

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Solution

The fourth proportional to 303.83, 455.42 and 199.68 is: 299.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.83 : 455.42 = 199.68 : x
  2. Step 2: Convert to fraction form
    303.83/455.42 = 199.68/x
  3. Step 3: Cross multiply
    303.83x = 455.42 × 199.68
  4. Step 4: Simplify right side
    303.83x = 90,935.99
  5. Step 5: Solve for x
    x = 90,935.99/303.83
  6. Step 6: Final answer
    x = 299.30

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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.