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Finding the Fourth Proportional to 328.26, 492.30 and 122.91

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Solution

The fourth proportional to 328.26, 492.30 and 122.91 is: 184.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.26 : 492.30 = 122.91 : x
  2. Step 2: Convert to fraction form
    328.26/492.30 = 122.91/x
  3. Step 3: Cross multiply
    328.26x = 492.30 × 122.91
  4. Step 4: Simplify right side
    328.26x = 60,508.59
  5. Step 5: Solve for x
    x = 60,508.59/328.26
  6. Step 6: Final answer
    x = 184.33

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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.