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Finding the Fourth Proportional to 193.91, 290.18 and 171.13

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Solution

The fourth proportional to 193.91, 290.18 and 171.13 is: 256.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.91 : 290.18 = 171.13 : x
  2. Step 2: Convert to fraction form
    193.91/290.18 = 171.13/x
  3. Step 3: Cross multiply
    193.91x = 290.18 × 171.13
  4. Step 4: Simplify right side
    193.91x = 49,658.50
  5. Step 5: Solve for x
    x = 49,658.50/193.91
  6. Step 6: Final answer
    x = 256.09

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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.