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Finding the Fourth Proportional to 291.69, 402.52 and 167.34

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Solution

The fourth proportional to 291.69, 402.52 and 167.34 is: 230.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.69 : 402.52 = 167.34 : x
  2. Step 2: Convert to fraction form
    291.69/402.52 = 167.34/x
  3. Step 3: Cross multiply
    291.69x = 402.52 × 167.34
  4. Step 4: Simplify right side
    291.69x = 67,354.85
  5. Step 5: Solve for x
    x = 67,354.85/291.69
  6. Step 6: Final answer
    x = 230.91

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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.