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Finding the Fourth Proportional to 304.43, 420.12 and 193.88

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Solution

The fourth proportional to 304.43, 420.12 and 193.88 is: 267.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.43 : 420.12 = 193.88 : x
  2. Step 2: Convert to fraction form
    304.43/420.12 = 193.88/x
  3. Step 3: Cross multiply
    304.43x = 420.12 × 193.88
  4. Step 4: Simplify right side
    304.43x = 81,452.87
  5. Step 5: Solve for x
    x = 81,452.87/304.43
  6. Step 6: Final answer
    x = 267.56

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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.