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Finding the Fourth Proportional to 327.84, 491.75 and 183.25

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Solution

The fourth proportional to 327.84, 491.75 and 183.25 is: 274.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.84 : 491.75 = 183.25 : x
  2. Step 2: Convert to fraction form
    327.84/491.75 = 183.25/x
  3. Step 3: Cross multiply
    327.84x = 491.75 × 183.25
  4. Step 4: Simplify right side
    327.84x = 90,113.19
  5. Step 5: Solve for x
    x = 90,113.19/327.84
  6. Step 6: Final answer
    x = 274.87

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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.