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Finding the Fourth Proportional to 328.27, 491.92 and 122.78

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Solution

The fourth proportional to 328.27, 491.92 and 122.78 is: 183.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.27 : 491.92 = 122.78 : x
  2. Step 2: Convert to fraction form
    328.27/491.92 = 122.78/x
  3. Step 3: Cross multiply
    328.27x = 491.92 × 122.78
  4. Step 4: Simplify right side
    328.27x = 60,397.94
  5. Step 5: Solve for x
    x = 60,397.94/328.27
  6. Step 6: Final answer
    x = 183.99

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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.