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Finding the Fourth Proportional to 327.89, 491.56 and 135.38

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Solution

The fourth proportional to 327.89, 491.56 and 135.38 is: 202.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.89 : 491.56 = 135.38 : x
  2. Step 2: Convert to fraction form
    327.89/491.56 = 135.38/x
  3. Step 3: Cross multiply
    327.89x = 491.56 × 135.38
  4. Step 4: Simplify right side
    327.89x = 66,547.39
  5. Step 5: Solve for x
    x = 66,547.39/327.89
  6. Step 6: Final answer
    x = 202.96

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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.