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Finding the Fourth Proportional to 291.22, 401.84 and 165.19

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Solution

The fourth proportional to 291.22, 401.84 and 165.19 is: 227.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.22 : 401.84 = 165.19 : x
  2. Step 2: Convert to fraction form
    291.22/401.84 = 165.19/x
  3. Step 3: Cross multiply
    291.22x = 401.84 × 165.19
  4. Step 4: Simplify right side
    291.22x = 66,379.95
  5. Step 5: Solve for x
    x = 66,379.95/291.22
  6. Step 6: Final answer
    x = 227.94

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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.