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Finding the Fourth Proportional to 197.24, 295.65 and 156.74

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Solution

The fourth proportional to 197.24, 295.65 and 156.74 is: 234.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.24 : 295.65 = 156.74 : x
  2. Step 2: Convert to fraction form
    197.24/295.65 = 156.74/x
  3. Step 3: Cross multiply
    197.24x = 295.65 × 156.74
  4. Step 4: Simplify right side
    197.24x = 46,338.70
  5. Step 5: Solve for x
    x = 46,338.70/197.24
  6. Step 6: Final answer
    x = 234.94

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