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Finding the Fourth Proportional to 197.48, 295.68 and 149.96

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Solution

The fourth proportional to 197.48, 295.68 and 149.96 is: 224.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.48 : 295.68 = 149.96 : x
  2. Step 2: Convert to fraction form
    197.48/295.68 = 149.96/x
  3. Step 3: Cross multiply
    197.48x = 295.68 × 149.96
  4. Step 4: Simplify right side
    197.48x = 44,340.17
  5. Step 5: Solve for x
    x = 44,340.17/197.48
  6. Step 6: Final answer
    x = 224.53

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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.