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Finding the Fourth Proportional to 220.82, 304.52 and 165.47

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Solution

The fourth proportional to 220.82, 304.52 and 165.47 is: 228.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.82 : 304.52 = 165.47 : x
  2. Step 2: Convert to fraction form
    220.82/304.52 = 165.47/x
  3. Step 3: Cross multiply
    220.82x = 304.52 × 165.47
  4. Step 4: Simplify right side
    220.82x = 50,386.57
  5. Step 5: Solve for x
    x = 50,386.57/220.82
  6. Step 6: Final answer
    x = 228.18

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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.