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Finding the Fourth Proportional to 197.63, 296.04 and 158.90

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Solution

The fourth proportional to 197.63, 296.04 and 158.90 is: 238.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.63 : 296.04 = 158.90 : x
  2. Step 2: Convert to fraction form
    197.63/296.04 = 158.90/x
  3. Step 3: Cross multiply
    197.63x = 296.04 × 158.90
  4. Step 4: Simplify right side
    197.63x = 47,040.76
  5. Step 5: Solve for x
    x = 47,040.76/197.63
  6. Step 6: Final answer
    x = 238.02

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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.