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Finding the Fourth Proportional to 197.40, 295.88 and 151.94

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Solution

The fourth proportional to 197.40, 295.88 and 151.94 is: 227.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.40 : 295.88 = 151.94 : x
  2. Step 2: Convert to fraction form
    197.40/295.88 = 151.94/x
  3. Step 3: Cross multiply
    197.40x = 295.88 × 151.94
  4. Step 4: Simplify right side
    197.40x = 44,956.01
  5. Step 5: Solve for x
    x = 44,956.01/197.40
  6. Step 6: Final answer
    x = 227.74

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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.