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Finding the Fourth Proportional to 291.01, 401.21 and 192.73

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Solution

The fourth proportional to 291.01, 401.21 and 192.73 is: 265.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.01 : 401.21 = 192.73 : x
  2. Step 2: Convert to fraction form
    291.01/401.21 = 192.73/x
  3. Step 3: Cross multiply
    291.01x = 401.21 × 192.73
  4. Step 4: Simplify right side
    291.01x = 77,324.24
  5. Step 5: Solve for x
    x = 77,324.24/291.01
  6. Step 6: Final answer
    x = 265.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.