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Finding the Fourth Proportional to 291.30, 402.06 and 166.96

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Solution

The fourth proportional to 291.30, 402.06 and 166.96 is: 230.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.30 : 402.06 = 166.96 : x
  2. Step 2: Convert to fraction form
    291.30/402.06 = 166.96/x
  3. Step 3: Cross multiply
    291.30x = 402.06 × 166.96
  4. Step 4: Simplify right side
    291.30x = 67,127.94
  5. Step 5: Solve for x
    x = 67,127.94/291.30
  6. Step 6: Final answer
    x = 230.44

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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.