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Finding the Fourth Proportional to 197.98, 296.66 and 157.48

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Solution

The fourth proportional to 197.98, 296.66 and 157.48 is: 235.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.98 : 296.66 = 157.48 : x
  2. Step 2: Convert to fraction form
    197.98/296.66 = 157.48/x
  3. Step 3: Cross multiply
    197.98x = 296.66 × 157.48
  4. Step 4: Simplify right side
    197.98x = 46,717.67
  5. Step 5: Solve for x
    x = 46,717.67/197.98
  6. Step 6: Final answer
    x = 235.97

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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.