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Finding the Fourth Proportional to 197.35, 295.95 and 89.06

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Solution

The fourth proportional to 197.35, 295.95 and 89.06 is: 133.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.35 : 295.95 = 89.06 : x
  2. Step 2: Convert to fraction form
    197.35/295.95 = 89.06/x
  3. Step 3: Cross multiply
    197.35x = 295.95 × 89.06
  4. Step 4: Simplify right side
    197.35x = 26,358.05
  5. Step 5: Solve for x
    x = 26,358.05/197.35
  6. Step 6: Final answer
    x = 133.56

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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.