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Finding the Fourth Proportional to 197.58, 272.30 and 142.23

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Solution

The fourth proportional to 197.58, 272.30 and 142.23 is: 196.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.58 : 272.30 = 142.23 : x
  2. Step 2: Convert to fraction form
    197.58/272.30 = 142.23/x
  3. Step 3: Cross multiply
    197.58x = 272.30 × 142.23
  4. Step 4: Simplify right side
    197.58x = 38,728.03
  5. Step 5: Solve for x
    x = 38,728.03/197.58
  6. Step 6: Final answer
    x = 196.01

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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.