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Finding the Fourth Proportional to 292.57, 403.75 and 161.57

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Solution

The fourth proportional to 292.57, 403.75 and 161.57 is: 222.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.57 : 403.75 = 161.57 : x
  2. Step 2: Convert to fraction form
    292.57/403.75 = 161.57/x
  3. Step 3: Cross multiply
    292.57x = 403.75 × 161.57
  4. Step 4: Simplify right side
    292.57x = 65,233.08
  5. Step 5: Solve for x
    x = 65,233.08/292.57
  6. Step 6: Final answer
    x = 222.97

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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.