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Finding the Fourth Proportional to 197.10, 295.29 and 164.81

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Solution

The fourth proportional to 197.10, 295.29 and 164.81 is: 246.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.10 : 295.29 = 164.81 : x
  2. Step 2: Convert to fraction form
    197.10/295.29 = 164.81/x
  3. Step 3: Cross multiply
    197.10x = 295.29 × 164.81
  4. Step 4: Simplify right side
    197.10x = 48,667.48
  5. Step 5: Solve for x
    x = 48,667.48/197.10
  6. Step 6: Final answer
    x = 246.92

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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.