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Finding the Fourth Proportional to 327.77, 491.74 and 122.34

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Solution

The fourth proportional to 327.77, 491.74 and 122.34 is: 183.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.77 : 491.74 = 122.34 : x
  2. Step 2: Convert to fraction form
    327.77/491.74 = 122.34/x
  3. Step 3: Cross multiply
    327.77x = 491.74 × 122.34
  4. Step 4: Simplify right side
    327.77x = 60,159.47
  5. Step 5: Solve for x
    x = 60,159.47/327.77
  6. Step 6: Final answer
    x = 183.54

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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.