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Finding the Fourth Proportional to 304.92, 457.31 and 119.82

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Solution

The fourth proportional to 304.92, 457.31 and 119.82 is: 179.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.92 : 457.31 = 119.82 : x
  2. Step 2: Convert to fraction form
    304.92/457.31 = 119.82/x
  3. Step 3: Cross multiply
    304.92x = 457.31 × 119.82
  4. Step 4: Simplify right side
    304.92x = 54,794.29
  5. Step 5: Solve for x
    x = 54,794.29/304.92
  6. Step 6: Final answer
    x = 179.70

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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.