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Finding the Fourth Proportional to 197.48, 270.76 and 192.08

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Solution

The fourth proportional to 197.48, 270.76 and 192.08 is: 263.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.48 : 270.76 = 192.08 : x
  2. Step 2: Convert to fraction form
    197.48/270.76 = 192.08/x
  3. Step 3: Cross multiply
    197.48x = 270.76 × 192.08
  4. Step 4: Simplify right side
    197.48x = 52,007.58
  5. Step 5: Solve for x
    x = 52,007.58/197.48
  6. Step 6: Final answer
    x = 263.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.