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Finding the Fourth Proportional to 197.52, 293.88 and 195.96

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Solution

The fourth proportional to 197.52, 293.88 and 195.96 is: 291.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.52 : 293.88 = 195.96 : x
  2. Step 2: Convert to fraction form
    197.52/293.88 = 195.96/x
  3. Step 3: Cross multiply
    197.52x = 293.88 × 195.96
  4. Step 4: Simplify right side
    197.52x = 57,588.72
  5. Step 5: Solve for x
    x = 57,588.72/197.52
  6. Step 6: Final answer
    x = 291.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.