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Finding the Fourth Proportional to 304.23, 456.12 and 109.13

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Solution

The fourth proportional to 304.23, 456.12 and 109.13 is: 163.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.23 : 456.12 = 109.13 : x
  2. Step 2: Convert to fraction form
    304.23/456.12 = 109.13/x
  3. Step 3: Cross multiply
    304.23x = 456.12 × 109.13
  4. Step 4: Simplify right side
    304.23x = 49,776.38
  5. Step 5: Solve for x
    x = 49,776.38/304.23
  6. Step 6: Final answer
    x = 163.61

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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.