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Finding the Fourth Proportional to 292.62, 403.79 and 161.63

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Solution

The fourth proportional to 292.62, 403.79 and 161.63 is: 223.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.62 : 403.79 = 161.63 : x
  2. Step 2: Convert to fraction form
    292.62/403.79 = 161.63/x
  3. Step 3: Cross multiply
    292.62x = 403.79 × 161.63
  4. Step 4: Simplify right side
    292.62x = 65,261.75
  5. Step 5: Solve for x
    x = 65,261.75/292.62
  6. Step 6: Final answer
    x = 223.03

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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.