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Finding the Fourth Proportional to 327.83, 491.81 and 183.38

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Solution

The fourth proportional to 327.83, 491.81 and 183.38 is: 275.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.83 : 491.81 = 183.38 : x
  2. Step 2: Convert to fraction form
    327.83/491.81 = 183.38/x
  3. Step 3: Cross multiply
    327.83x = 491.81 × 183.38
  4. Step 4: Simplify right side
    327.83x = 90,184.74
  5. Step 5: Solve for x
    x = 90,184.74/327.83
  6. Step 6: Final answer
    x = 275.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.