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Finding the Fourth Proportional to 197.27, 295.83 and 60.29

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Solution

The fourth proportional to 197.27, 295.83 and 60.29 is: 90.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.27 : 295.83 = 60.29 : x
  2. Step 2: Convert to fraction form
    197.27/295.83 = 60.29/x
  3. Step 3: Cross multiply
    197.27x = 295.83 × 60.29
  4. Step 4: Simplify right side
    197.27x = 17,835.59
  5. Step 5: Solve for x
    x = 17,835.59/197.27
  6. Step 6: Final answer
    x = 90.41

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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.