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Finding the Fourth Proportional to 292.13, 403.14 and 161.14

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Solution

The fourth proportional to 292.13, 403.14 and 161.14 is: 222.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.13 : 403.14 = 161.14 : x
  2. Step 2: Convert to fraction form
    292.13/403.14 = 161.14/x
  3. Step 3: Cross multiply
    292.13x = 403.14 × 161.14
  4. Step 4: Simplify right side
    292.13x = 64,961.38
  5. Step 5: Solve for x
    x = 64,961.38/292.13
  6. Step 6: Final answer
    x = 222.37

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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.