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Finding the Fourth Proportional to 292.47, 403.61 and 161.48

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Solution

The fourth proportional to 292.47, 403.61 and 161.48 is: 222.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.47 : 403.61 = 161.48 : x
  2. Step 2: Convert to fraction form
    292.47/403.61 = 161.48/x
  3. Step 3: Cross multiply
    292.47x = 403.61 × 161.48
  4. Step 4: Simplify right side
    292.47x = 65,174.94
  5. Step 5: Solve for x
    x = 65,174.94/292.47
  6. Step 6: Final answer
    x = 222.84

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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.