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Finding the Fourth Proportional to 220.09, 304.02 and 165.24

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Solution

The fourth proportional to 220.09, 304.02 and 165.24 is: 228.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.09 : 304.02 = 165.24 : x
  2. Step 2: Convert to fraction form
    220.09/304.02 = 165.24/x
  3. Step 3: Cross multiply
    220.09x = 304.02 × 165.24
  4. Step 4: Simplify right side
    220.09x = 50,235.57
  5. Step 5: Solve for x
    x = 50,235.57/220.09
  6. Step 6: Final answer
    x = 228.25

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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.