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Finding the Fourth Proportional to 197.51, 272.62 and 142.16

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Solution

The fourth proportional to 197.51, 272.62 and 142.16 is: 196.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.51 : 272.62 = 142.16 : x
  2. Step 2: Convert to fraction form
    197.51/272.62 = 142.16/x
  3. Step 3: Cross multiply
    197.51x = 272.62 × 142.16
  4. Step 4: Simplify right side
    197.51x = 38,753.67
  5. Step 5: Solve for x
    x = 38,753.67/197.51
  6. Step 6: Final answer
    x = 196.21

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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.