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Finding the Fourth Proportional to 291.22, 401.76 and 166.85

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Solution

The fourth proportional to 291.22, 401.76 and 166.85 is: 230.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.22 : 401.76 = 166.85 : x
  2. Step 2: Convert to fraction form
    291.22/401.76 = 166.85/x
  3. Step 3: Cross multiply
    291.22x = 401.76 × 166.85
  4. Step 4: Simplify right side
    291.22x = 67,033.15
  5. Step 5: Solve for x
    x = 67,033.15/291.22
  6. Step 6: Final answer
    x = 230.18

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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.