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Finding the Fourth Proportional to 291.45, 402.09 and 167.05

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Solution

The fourth proportional to 291.45, 402.09 and 167.05 is: 230.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.45 : 402.09 = 167.05 : x
  2. Step 2: Convert to fraction form
    291.45/402.09 = 167.05/x
  3. Step 3: Cross multiply
    291.45x = 402.09 × 167.05
  4. Step 4: Simplify right side
    291.45x = 67,166.29
  5. Step 5: Solve for x
    x = 67,166.29/291.45
  6. Step 6: Final answer
    x = 230.46

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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.