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Finding the Fourth Proportional to 304.56, 420.24 and 199.56

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Solution

The fourth proportional to 304.56, 420.24 and 199.56 is: 275.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.56 : 420.24 = 199.56 : x
  2. Step 2: Convert to fraction form
    304.56/420.24 = 199.56/x
  3. Step 3: Cross multiply
    304.56x = 420.24 × 199.56
  4. Step 4: Simplify right side
    304.56x = 83,863.09
  5. Step 5: Solve for x
    x = 83,863.09/304.56
  6. Step 6: Final answer
    x = 275.36

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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.