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Finding the Fourth Proportional to 197.35, 297.17 and 146.35

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Solution

The fourth proportional to 197.35, 297.17 and 146.35 is: 220.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.35 : 297.17 = 146.35 : x
  2. Step 2: Convert to fraction form
    197.35/297.17 = 146.35/x
  3. Step 3: Cross multiply
    197.35x = 297.17 × 146.35
  4. Step 4: Simplify right side
    197.35x = 43,491.02
  5. Step 5: Solve for x
    x = 43,491.02/197.35
  6. Step 6: Final answer
    x = 220.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.