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Finding the Fourth Proportional to 197.52, 296.43 and 106.21

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Solution

The fourth proportional to 197.52, 296.43 and 106.21 is: 159.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.52 : 296.43 = 106.21 : x
  2. Step 2: Convert to fraction form
    197.52/296.43 = 106.21/x
  3. Step 3: Cross multiply
    197.52x = 296.43 × 106.21
  4. Step 4: Simplify right side
    197.52x = 31,483.83
  5. Step 5: Solve for x
    x = 31,483.83/197.52
  6. Step 6: Final answer
    x = 159.40

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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.