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Finding the Fourth Proportional to 365.53, 547.67 and 220.94

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Solution

The fourth proportional to 365.53, 547.67 and 220.94 is: 331.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.53 : 547.67 = 220.94 : x
  2. Step 2: Convert to fraction form
    365.53/547.67 = 220.94/x
  3. Step 3: Cross multiply
    365.53x = 547.67 × 220.94
  4. Step 4: Simplify right side
    365.53x = 121,001.11
  5. Step 5: Solve for x
    x = 121,001.11/365.53
  6. Step 6: Final answer
    x = 331.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.