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Finding the Fourth Proportional to 291.56, 402.36 and 167.24

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Solution

The fourth proportional to 291.56, 402.36 and 167.24 is: 230.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.56 : 402.36 = 167.24 : x
  2. Step 2: Convert to fraction form
    291.56/402.36 = 167.24/x
  3. Step 3: Cross multiply
    291.56x = 402.36 × 167.24
  4. Step 4: Simplify right side
    291.56x = 67,287.84
  5. Step 5: Solve for x
    x = 67,287.84/291.56
  6. Step 6: Final answer
    x = 230.79

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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.