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Finding the Fourth Proportional to 196.94, 295.51 and 94.26

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Solution

The fourth proportional to 196.94, 295.51 and 94.26 is: 141.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.94 : 295.51 = 94.26 : x
  2. Step 2: Convert to fraction form
    196.94/295.51 = 94.26/x
  3. Step 3: Cross multiply
    196.94x = 295.51 × 94.26
  4. Step 4: Simplify right side
    196.94x = 27,854.30
  5. Step 5: Solve for x
    x = 27,854.30/196.94
  6. Step 6: Final answer
    x = 141.44

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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.