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Finding the Fourth Proportional to 294.24, 406.06 and 161.47

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Solution

The fourth proportional to 294.24, 406.06 and 161.47 is: 222.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.24 : 406.06 = 161.47 : x
  2. Step 2: Convert to fraction form
    294.24/406.06 = 161.47/x
  3. Step 3: Cross multiply
    294.24x = 406.06 × 161.47
  4. Step 4: Simplify right side
    294.24x = 65,566.51
  5. Step 5: Solve for x
    x = 65,566.51/294.24
  6. Step 6: Final answer
    x = 222.83

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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.