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Finding the Fourth Proportional to 197.04, 297.66 and 195.24

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Solution

The fourth proportional to 197.04, 297.66 and 195.24 is: 294.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.04 : 297.66 = 195.24 : x
  2. Step 2: Convert to fraction form
    197.04/297.66 = 195.24/x
  3. Step 3: Cross multiply
    197.04x = 297.66 × 195.24
  4. Step 4: Simplify right side
    197.04x = 58,115.14
  5. Step 5: Solve for x
    x = 58,115.14/197.04
  6. Step 6: Final answer
    x = 294.94

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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.