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Finding the Fourth Proportional to 197.42, 272.25 and 135.14

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Solution

The fourth proportional to 197.42, 272.25 and 135.14 is: 186.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.42 : 272.25 = 135.14 : x
  2. Step 2: Convert to fraction form
    197.42/272.25 = 135.14/x
  3. Step 3: Cross multiply
    197.42x = 272.25 × 135.14
  4. Step 4: Simplify right side
    197.42x = 36,790.50
  5. Step 5: Solve for x
    x = 36,790.50/197.42
  6. Step 6: Final answer
    x = 186.36

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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.