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Finding the Fourth Proportional to 220.85, 304.90 and 165.14

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Solution

The fourth proportional to 220.85, 304.90 and 165.14 is: 227.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.85 : 304.90 = 165.14 : x
  2. Step 2: Convert to fraction form
    220.85/304.90 = 165.14/x
  3. Step 3: Cross multiply
    220.85x = 304.90 × 165.14
  4. Step 4: Simplify right side
    220.85x = 50,349.25
  5. Step 5: Solve for x
    x = 50,349.25/220.85
  6. Step 6: Final answer
    x = 227.98

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Why These Related Problems?

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