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Finding the Fourth Proportional to 292.00, 402.89 and 167.67

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Solution

The fourth proportional to 292.00, 402.89 and 167.67 is: 231.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.00 : 402.89 = 167.67 : x
  2. Step 2: Convert to fraction form
    292.00/402.89 = 167.67/x
  3. Step 3: Cross multiply
    292.00x = 402.89 × 167.67
  4. Step 4: Simplify right side
    292.00x = 67,551.96
  5. Step 5: Solve for x
    x = 67,551.96/292.00
  6. Step 6: Final answer
    x = 231.34

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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.