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Finding the Fourth Proportional to 304.72, 420.46 and 194.05

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Solution

The fourth proportional to 304.72, 420.46 and 194.05 is: 267.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.72 : 420.46 = 194.05 : x
  2. Step 2: Convert to fraction form
    304.72/420.46 = 194.05/x
  3. Step 3: Cross multiply
    304.72x = 420.46 × 194.05
  4. Step 4: Simplify right side
    304.72x = 81,590.30
  5. Step 5: Solve for x
    x = 81,590.30/304.72
  6. Step 6: Final answer
    x = 267.76

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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.