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Finding the Fourth Proportional to 197.34, 296.12 and 106.03

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Solution

The fourth proportional to 197.34, 296.12 and 106.03 is: 159.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.34 : 296.12 = 106.03 : x
  2. Step 2: Convert to fraction form
    197.34/296.12 = 106.03/x
  3. Step 3: Cross multiply
    197.34x = 296.12 × 106.03
  4. Step 4: Simplify right side
    197.34x = 31,397.60
  5. Step 5: Solve for x
    x = 31,397.60/197.34
  6. Step 6: Final answer
    x = 159.10

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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.