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Finding the Fourth Proportional to 291.50, 402.24 and 167.16

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Solution

The fourth proportional to 291.50, 402.24 and 167.16 is: 230.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.50 : 402.24 = 167.16 : x
  2. Step 2: Convert to fraction form
    291.50/402.24 = 167.16/x
  3. Step 3: Cross multiply
    291.50x = 402.24 × 167.16
  4. Step 4: Simplify right side
    291.50x = 67,238.44
  5. Step 5: Solve for x
    x = 67,238.44/291.50
  6. Step 6: Final answer
    x = 230.66

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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.