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Finding the Fourth Proportional to 197.93, 272.86 and 135.66

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Solution

The fourth proportional to 197.93, 272.86 and 135.66 is: 187.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.93 : 272.86 = 135.66 : x
  2. Step 2: Convert to fraction form
    197.93/272.86 = 135.66/x
  3. Step 3: Cross multiply
    197.93x = 272.86 × 135.66
  4. Step 4: Simplify right side
    197.93x = 37,015.51
  5. Step 5: Solve for x
    x = 37,015.51/197.93
  6. Step 6: Final answer
    x = 187.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.