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Finding the Fourth Proportional to 304.25, 456.51 and 159.94

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Solution

The fourth proportional to 304.25, 456.51 and 159.94 is: 239.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.25 : 456.51 = 159.94 : x
  2. Step 2: Convert to fraction form
    304.25/456.51 = 159.94/x
  3. Step 3: Cross multiply
    304.25x = 456.51 × 159.94
  4. Step 4: Simplify right side
    304.25x = 73,011.93
  5. Step 5: Solve for x
    x = 73,011.93/304.25
  6. Step 6: Final answer
    x = 239.97

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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.