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Finding the Fourth Proportional to 197.13, 295.79 and 101.01

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Solution

The fourth proportional to 197.13, 295.79 and 101.01 is: 151.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.13 : 295.79 = 101.01 : x
  2. Step 2: Convert to fraction form
    197.13/295.79 = 101.01/x
  3. Step 3: Cross multiply
    197.13x = 295.79 × 101.01
  4. Step 4: Simplify right side
    197.13x = 29,877.75
  5. Step 5: Solve for x
    x = 29,877.75/197.13
  6. Step 6: Final answer
    x = 151.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.