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Finding the Fourth Proportional to 292.19, 403.26 and 167.85

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Solution

The fourth proportional to 292.19, 403.26 and 167.85 is: 231.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.19 : 403.26 = 167.85 : x
  2. Step 2: Convert to fraction form
    292.19/403.26 = 167.85/x
  3. Step 3: Cross multiply
    292.19x = 403.26 × 167.85
  4. Step 4: Simplify right side
    292.19x = 67,687.19
  5. Step 5: Solve for x
    x = 67,687.19/292.19
  6. Step 6: Final answer
    x = 231.66

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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.