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Finding the Fourth Proportional to 292.23, 403.27 and 161.24

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Solution

The fourth proportional to 292.23, 403.27 and 161.24 is: 222.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.23 : 403.27 = 161.24 : x
  2. Step 2: Convert to fraction form
    292.23/403.27 = 161.24/x
  3. Step 3: Cross multiply
    292.23x = 403.27 × 161.24
  4. Step 4: Simplify right side
    292.23x = 65,020.84
  5. Step 5: Solve for x
    x = 65,020.84/292.23
  6. Step 6: Final answer
    x = 222.50

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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.