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Finding the Fourth Proportional to 197.48, 272.68 and 135.38

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Solution

The fourth proportional to 197.48, 272.68 and 135.38 is: 186.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.48 : 272.68 = 135.38 : x
  2. Step 2: Convert to fraction form
    197.48/272.68 = 135.38/x
  3. Step 3: Cross multiply
    197.48x = 272.68 × 135.38
  4. Step 4: Simplify right side
    197.48x = 36,915.42
  5. Step 5: Solve for x
    x = 36,915.42/197.48
  6. Step 6: Final answer
    x = 186.93

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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.