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Finding the Fourth Proportional to 327.07, 490.67 and 121.93

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Solution

The fourth proportional to 327.07, 490.67 and 121.93 is: 182.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.07 : 490.67 = 121.93 : x
  2. Step 2: Convert to fraction form
    327.07/490.67 = 121.93/x
  3. Step 3: Cross multiply
    327.07x = 490.67 × 121.93
  4. Step 4: Simplify right side
    327.07x = 59,827.39
  5. Step 5: Solve for x
    x = 59,827.39/327.07
  6. Step 6: Final answer
    x = 182.92

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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.