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Finding the Fourth Proportional to 197.52, 294.24 and 195.04

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Solution

The fourth proportional to 197.52, 294.24 and 195.04 is: 290.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.52 : 294.24 = 195.04 : x
  2. Step 2: Convert to fraction form
    197.52/294.24 = 195.04/x
  3. Step 3: Cross multiply
    197.52x = 294.24 × 195.04
  4. Step 4: Simplify right side
    197.52x = 57,388.57
  5. Step 5: Solve for x
    x = 57,388.57/197.52
  6. Step 6: Final answer
    x = 290.55

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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.