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Finding the Fourth Proportional to 291.55, 402.27 and 167.24

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Solution

The fourth proportional to 291.55, 402.27 and 167.24 is: 230.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.55 : 402.27 = 167.24 : x
  2. Step 2: Convert to fraction form
    291.55/402.27 = 167.24/x
  3. Step 3: Cross multiply
    291.55x = 402.27 × 167.24
  4. Step 4: Simplify right side
    291.55x = 67,274.88
  5. Step 5: Solve for x
    x = 67,274.88/291.55
  6. Step 6: Final answer
    x = 230.75

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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.