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Finding the Fourth Proportional to 197.70, 272.93 and 135.62

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Solution

The fourth proportional to 197.70, 272.93 and 135.62 is: 187.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.70 : 272.93 = 135.62 : x
  2. Step 2: Convert to fraction form
    197.70/272.93 = 135.62/x
  3. Step 3: Cross multiply
    197.70x = 272.93 × 135.62
  4. Step 4: Simplify right side
    197.70x = 37,013.40
  5. Step 5: Solve for x
    x = 37,013.40/197.70
  6. Step 6: Final answer
    x = 187.22

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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.