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Finding the Fourth Proportional to 196.27, 293.60 and 130.66

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Solution

The fourth proportional to 196.27, 293.60 and 130.66 is: 195.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.27 : 293.60 = 130.66 : x
  2. Step 2: Convert to fraction form
    196.27/293.60 = 130.66/x
  3. Step 3: Cross multiply
    196.27x = 293.60 × 130.66
  4. Step 4: Simplify right side
    196.27x = 38,361.37
  5. Step 5: Solve for x
    x = 38,361.37/196.27
  6. Step 6: Final answer
    x = 195.45

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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.