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Finding the Fourth Proportional to 197.69, 295.23 and 159.23

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Solution

The fourth proportional to 197.69, 295.23 and 159.23 is: 237.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.69 : 295.23 = 159.23 : x
  2. Step 2: Convert to fraction form
    197.69/295.23 = 159.23/x
  3. Step 3: Cross multiply
    197.69x = 295.23 × 159.23
  4. Step 4: Simplify right side
    197.69x = 47,009.47
  5. Step 5: Solve for x
    x = 47,009.47/197.69
  6. Step 6: Final answer
    x = 237.79

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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.