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Finding the Fourth Proportional to 294.05, 405.78 and 161.24

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Solution

The fourth proportional to 294.05, 405.78 and 161.24 is: 222.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.05 : 405.78 = 161.24 : x
  2. Step 2: Convert to fraction form
    294.05/405.78 = 161.24/x
  3. Step 3: Cross multiply
    294.05x = 405.78 × 161.24
  4. Step 4: Simplify right side
    294.05x = 65,427.62
  5. Step 5: Solve for x
    x = 65,427.62/294.05
  6. Step 6: Final answer
    x = 222.51

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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.