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Finding the Fourth Proportional to 325.50, 449.21 and 185.66

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Solution

The fourth proportional to 325.50, 449.21 and 185.66 is: 256.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.50 : 449.21 = 185.66 : x
  2. Step 2: Convert to fraction form
    325.50/449.21 = 185.66/x
  3. Step 3: Cross multiply
    325.50x = 449.21 × 185.66
  4. Step 4: Simplify right side
    325.50x = 83,397.15
  5. Step 5: Solve for x
    x = 83,397.15/325.50
  6. Step 6: Final answer
    x = 256.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.