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Finding the Fourth Proportional to 197.57, 296.34 and 53.29

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Solution

The fourth proportional to 197.57, 296.34 and 53.29 is: 79.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.57 : 296.34 = 53.29 : x
  2. Step 2: Convert to fraction form
    197.57/296.34 = 53.29/x
  3. Step 3: Cross multiply
    197.57x = 296.34 × 53.29
  4. Step 4: Simplify right side
    197.57x = 15,791.96
  5. Step 5: Solve for x
    x = 15,791.96/197.57
  6. Step 6: Final answer
    x = 79.93

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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.