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Finding the Fourth Proportional to 292.93, 404.25 and 161.95

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Solution

The fourth proportional to 292.93, 404.25 and 161.95 is: 223.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.93 : 404.25 = 161.95 : x
  2. Step 2: Convert to fraction form
    292.93/404.25 = 161.95/x
  3. Step 3: Cross multiply
    292.93x = 404.25 × 161.95
  4. Step 4: Simplify right side
    292.93x = 65,466.27
  5. Step 5: Solve for x
    x = 65,466.27/292.93
  6. Step 6: Final answer
    x = 223.49

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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.