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Finding the Fourth Proportional to 197.47, 294.05 and 195.04

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Solution

The fourth proportional to 197.47, 294.05 and 195.04 is: 290.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.47 : 294.05 = 195.04 : x
  2. Step 2: Convert to fraction form
    197.47/294.05 = 195.04/x
  3. Step 3: Cross multiply
    197.47x = 294.05 × 195.04
  4. Step 4: Simplify right side
    197.47x = 57,351.51
  5. Step 5: Solve for x
    x = 57,351.51/197.47
  6. Step 6: Final answer
    x = 290.43

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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.