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Finding the Fourth Proportional to 301.17, 451.82 and 108.81

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Solution

The fourth proportional to 301.17, 451.82 and 108.81 is: 163.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.17 : 451.82 = 108.81 : x
  2. Step 2: Convert to fraction form
    301.17/451.82 = 108.81/x
  3. Step 3: Cross multiply
    301.17x = 451.82 × 108.81
  4. Step 4: Simplify right side
    301.17x = 49,161.99
  5. Step 5: Solve for x
    x = 49,161.99/301.17
  6. Step 6: Final answer
    x = 163.24

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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.