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Finding the Fourth Proportional to 324.83, 448.17 and 190.23

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Solution

The fourth proportional to 324.83, 448.17 and 190.23 is: 262.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.83 : 448.17 = 190.23 : x
  2. Step 2: Convert to fraction form
    324.83/448.17 = 190.23/x
  3. Step 3: Cross multiply
    324.83x = 448.17 × 190.23
  4. Step 4: Simplify right side
    324.83x = 85,255.38
  5. Step 5: Solve for x
    x = 85,255.38/324.83
  6. Step 6: Final answer
    x = 262.47

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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.