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Finding the Fourth Proportional to 220.44, 304.16 and 153.97

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Solution

The fourth proportional to 220.44, 304.16 and 153.97 is: 212.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.44 : 304.16 = 153.97 : x
  2. Step 2: Convert to fraction form
    220.44/304.16 = 153.97/x
  3. Step 3: Cross multiply
    220.44x = 304.16 × 153.97
  4. Step 4: Simplify right side
    220.44x = 46,829.98
  5. Step 5: Solve for x
    x = 46,829.98/220.44
  6. Step 6: Final answer
    x = 212.44

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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.