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Finding the Fourth Proportional to 365.80, 547.46 and 221.62

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Solution

The fourth proportional to 365.80, 547.46 and 221.62 is: 331.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.80 : 547.46 = 221.62 : x
  2. Step 2: Convert to fraction form
    365.80/547.46 = 221.62/x
  3. Step 3: Cross multiply
    365.80x = 547.46 × 221.62
  4. Step 4: Simplify right side
    365.80x = 121,328.09
  5. Step 5: Solve for x
    x = 121,328.09/365.80
  6. Step 6: Final answer
    x = 331.68

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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.