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Finding the Fourth Proportional to 291.79, 402.54 and 167.42

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Solution

The fourth proportional to 291.79, 402.54 and 167.42 is: 230.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.79 : 402.54 = 167.42 : x
  2. Step 2: Convert to fraction form
    291.79/402.54 = 167.42/x
  3. Step 3: Cross multiply
    291.79x = 402.54 × 167.42
  4. Step 4: Simplify right side
    291.79x = 67,393.25
  5. Step 5: Solve for x
    x = 67,393.25/291.79
  6. Step 6: Final answer
    x = 230.96

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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.