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Finding the Fourth Proportional to 197.74, 296.61 and 100.24

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Solution

The fourth proportional to 197.74, 296.61 and 100.24 is: 150.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.74 : 296.61 = 100.24 : x
  2. Step 2: Convert to fraction form
    197.74/296.61 = 100.24/x
  3. Step 3: Cross multiply
    197.74x = 296.61 × 100.24
  4. Step 4: Simplify right side
    197.74x = 29,731.63
  5. Step 5: Solve for x
    x = 29,731.63/197.74
  6. Step 6: Final answer
    x = 150.36

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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.