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Finding the Fourth Proportional to 223.58, 308.26 and 197.48

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Solution

The fourth proportional to 223.58, 308.26 and 197.48 is: 272.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.58 : 308.26 = 197.48 : x
  2. Step 2: Convert to fraction form
    223.58/308.26 = 197.48/x
  3. Step 3: Cross multiply
    223.58x = 308.26 × 197.48
  4. Step 4: Simplify right side
    223.58x = 60,875.18
  5. Step 5: Solve for x
    x = 60,875.18/223.58
  6. Step 6: Final answer
    x = 272.27

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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.