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Finding the Fourth Proportional to 220.52, 304.26 and 142.96

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Solution

The fourth proportional to 220.52, 304.26 and 142.96 is: 197.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.52 : 304.26 = 142.96 : x
  2. Step 2: Convert to fraction form
    220.52/304.26 = 142.96/x
  3. Step 3: Cross multiply
    220.52x = 304.26 × 142.96
  4. Step 4: Simplify right side
    220.52x = 43,497.01
  5. Step 5: Solve for x
    x = 43,497.01/220.52
  6. Step 6: Final answer
    x = 197.25

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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.