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Finding the Fourth Proportional to 197.53, 272.60 and 109.02

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Solution

The fourth proportional to 197.53, 272.60 and 109.02 is: 150.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.53 : 272.60 = 109.02 : x
  2. Step 2: Convert to fraction form
    197.53/272.60 = 109.02/x
  3. Step 3: Cross multiply
    197.53x = 272.60 × 109.02
  4. Step 4: Simplify right side
    197.53x = 29,717.28
  5. Step 5: Solve for x
    x = 29,717.28/197.53
  6. Step 6: Final answer
    x = 150.45

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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.