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Finding the Fourth Proportional to 197.69, 272.90 and 192.22

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Solution

The fourth proportional to 197.69, 272.90 and 192.22 is: 265.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.69 : 272.90 = 192.22 : x
  2. Step 2: Convert to fraction form
    197.69/272.90 = 192.22/x
  3. Step 3: Cross multiply
    197.69x = 272.90 × 192.22
  4. Step 4: Simplify right side
    197.69x = 52,454.51
  5. Step 5: Solve for x
    x = 52,454.51/197.69
  6. Step 6: Final answer
    x = 265.34

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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.