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Finding the Fourth Proportional to 197.16, 295.74 and 154.68

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Solution

The fourth proportional to 197.16, 295.74 and 154.68 is: 232.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.16 : 295.74 = 154.68 : x
  2. Step 2: Convert to fraction form
    197.16/295.74 = 154.68/x
  3. Step 3: Cross multiply
    197.16x = 295.74 × 154.68
  4. Step 4: Simplify right side
    197.16x = 45,745.06
  5. Step 5: Solve for x
    x = 45,745.06/197.16
  6. Step 6: Final answer
    x = 232.02

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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.