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Finding the Fourth Proportional to 197.40, 296.09 and 106.28

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Solution

The fourth proportional to 197.40, 296.09 and 106.28 is: 159.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.40 : 296.09 = 106.28 : x
  2. Step 2: Convert to fraction form
    197.40/296.09 = 106.28/x
  3. Step 3: Cross multiply
    197.40x = 296.09 × 106.28
  4. Step 4: Simplify right side
    197.40x = 31,467.23
  5. Step 5: Solve for x
    x = 31,467.23/197.40
  6. Step 6: Final answer
    x = 159.41

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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.