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Finding the Fourth Proportional to 197.52, 271.83 and 158.04

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Solution

The fourth proportional to 197.52, 271.83 and 158.04 is: 217.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.52 : 271.83 = 158.04 : x
  2. Step 2: Convert to fraction form
    197.52/271.83 = 158.04/x
  3. Step 3: Cross multiply
    197.52x = 271.83 × 158.04
  4. Step 4: Simplify right side
    197.52x = 42,960.01
  5. Step 5: Solve for x
    x = 42,960.01/197.52
  6. Step 6: Final answer
    x = 217.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.