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Finding the Fourth Proportional to 220.91, 304.88 and 165.54

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Solution

The fourth proportional to 220.91, 304.88 and 165.54 is: 228.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.91 : 304.88 = 165.54 : x
  2. Step 2: Convert to fraction form
    220.91/304.88 = 165.54/x
  3. Step 3: Cross multiply
    220.91x = 304.88 × 165.54
  4. Step 4: Simplify right side
    220.91x = 50,470.15
  5. Step 5: Solve for x
    x = 50,470.15/220.91
  6. Step 6: Final answer
    x = 228.47

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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.