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Finding the Fourth Proportional to 197.82, 295.61 and 146.57

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Solution

The fourth proportional to 197.82, 295.61 and 146.57 is: 219.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.82 : 295.61 = 146.57 : x
  2. Step 2: Convert to fraction form
    197.82/295.61 = 146.57/x
  3. Step 3: Cross multiply
    197.82x = 295.61 × 146.57
  4. Step 4: Simplify right side
    197.82x = 43,325.35
  5. Step 5: Solve for x
    x = 43,325.35/197.82
  6. Step 6: Final answer
    x = 219.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.