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Finding the Fourth Proportional to 326.82, 490.14 and 95.76

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Solution

The fourth proportional to 326.82, 490.14 and 95.76 is: 143.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.82 : 490.14 = 95.76 : x
  2. Step 2: Convert to fraction form
    326.82/490.14 = 95.76/x
  3. Step 3: Cross multiply
    326.82x = 490.14 × 95.76
  4. Step 4: Simplify right side
    326.82x = 46,935.81
  5. Step 5: Solve for x
    x = 46,935.81/326.82
  6. Step 6: Final answer
    x = 143.61

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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.