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Finding the Fourth Proportional to 304.66, 420.27 and 199.92

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Solution

The fourth proportional to 304.66, 420.27 and 199.92 is: 275.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.66 : 420.27 = 199.92 : x
  2. Step 2: Convert to fraction form
    304.66/420.27 = 199.92/x
  3. Step 3: Cross multiply
    304.66x = 420.27 × 199.92
  4. Step 4: Simplify right side
    304.66x = 84,020.38
  5. Step 5: Solve for x
    x = 84,020.38/304.66
  6. Step 6: Final answer
    x = 275.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.