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Finding the Fourth Proportional to 291.19, 401.84 and 166.85

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Solution

The fourth proportional to 291.19, 401.84 and 166.85 is: 230.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.19 : 401.84 = 166.85 : x
  2. Step 2: Convert to fraction form
    291.19/401.84 = 166.85/x
  3. Step 3: Cross multiply
    291.19x = 401.84 × 166.85
  4. Step 4: Simplify right side
    291.19x = 67,047.17
  5. Step 5: Solve for x
    x = 67,047.17/291.19
  6. Step 6: Final answer
    x = 230.25

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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.