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Finding the Fourth Proportional to 327.93, 491.58 and 122.34

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Solution

The fourth proportional to 327.93, 491.58 and 122.34 is: 183.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.93 : 491.58 = 122.34 : x
  2. Step 2: Convert to fraction form
    327.93/491.58 = 122.34/x
  3. Step 3: Cross multiply
    327.93x = 491.58 × 122.34
  4. Step 4: Simplify right side
    327.93x = 60,139.90
  5. Step 5: Solve for x
    x = 60,139.90/327.93
  6. Step 6: Final answer
    x = 183.39

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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.