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Finding the Fourth Proportional to 213.54, 295.16 and 197.14

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Solution

The fourth proportional to 213.54, 295.16 and 197.14 is: 272.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.54 : 295.16 = 197.14 : x
  2. Step 2: Convert to fraction form
    213.54/295.16 = 197.14/x
  3. Step 3: Cross multiply
    213.54x = 295.16 × 197.14
  4. Step 4: Simplify right side
    213.54x = 58,186.12
  5. Step 5: Solve for x
    x = 58,186.12/213.54
  6. Step 6: Final answer
    x = 272.48

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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.