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Finding the Fourth Proportional to 291.92, 402.83 and 167.57

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Solution

The fourth proportional to 291.92, 402.83 and 167.57 is: 231.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.92 : 402.83 = 167.57 : x
  2. Step 2: Convert to fraction form
    291.92/402.83 = 167.57/x
  3. Step 3: Cross multiply
    291.92x = 402.83 × 167.57
  4. Step 4: Simplify right side
    291.92x = 67,502.22
  5. Step 5: Solve for x
    x = 67,502.22/291.92
  6. Step 6: Final answer
    x = 231.24

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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.