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Finding the Fourth Proportional to 197.72, 272.68 and 135.64

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Solution

The fourth proportional to 197.72, 272.68 and 135.64 is: 187.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.72 : 272.68 = 135.64 : x
  2. Step 2: Convert to fraction form
    197.72/272.68 = 135.64/x
  3. Step 3: Cross multiply
    197.72x = 272.68 × 135.64
  4. Step 4: Simplify right side
    197.72x = 36,986.32
  5. Step 5: Solve for x
    x = 36,986.32/197.72
  6. Step 6: Final answer
    x = 187.06

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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.