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Finding the Fourth Proportional to 197.00, 294.90 and 135.17

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Solution

The fourth proportional to 197.00, 294.90 and 135.17 is: 202.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.00 : 294.90 = 135.17 : x
  2. Step 2: Convert to fraction form
    197.00/294.90 = 135.17/x
  3. Step 3: Cross multiply
    197.00x = 294.90 × 135.17
  4. Step 4: Simplify right side
    197.00x = 39,859.48
  5. Step 5: Solve for x
    x = 39,859.48/197.00
  6. Step 6: Final answer
    x = 202.34

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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.