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Finding the Fourth Proportional to 197.64, 296.46 and 106.38

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Solution

The fourth proportional to 197.64, 296.46 and 106.38 is: 159.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.64 : 296.46 = 106.38 : x
  2. Step 2: Convert to fraction form
    197.64/296.46 = 106.38/x
  3. Step 3: Cross multiply
    197.64x = 296.46 × 106.38
  4. Step 4: Simplify right side
    197.64x = 31,537.41
  5. Step 5: Solve for x
    x = 31,537.41/197.64
  6. Step 6: Final answer
    x = 159.57

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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.