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Finding the Fourth Proportional to 304.18, 456.32 and 109.17

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Solution

The fourth proportional to 304.18, 456.32 and 109.17 is: 163.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.18 : 456.32 = 109.17 : x
  2. Step 2: Convert to fraction form
    304.18/456.32 = 109.17/x
  3. Step 3: Cross multiply
    304.18x = 456.32 × 109.17
  4. Step 4: Simplify right side
    304.18x = 49,816.73
  5. Step 5: Solve for x
    x = 49,816.73/304.18
  6. Step 6: Final answer
    x = 163.78

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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.