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Finding the Fourth Proportional to 291.06, 401.55 and 166.63

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Solution

The fourth proportional to 291.06, 401.55 and 166.63 is: 229.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.06 : 401.55 = 166.63 : x
  2. Step 2: Convert to fraction form
    291.06/401.55 = 166.63/x
  3. Step 3: Cross multiply
    291.06x = 401.55 × 166.63
  4. Step 4: Simplify right side
    291.06x = 66,910.28
  5. Step 5: Solve for x
    x = 66,910.28/291.06
  6. Step 6: Final answer
    x = 229.88

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