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Finding the Fourth Proportional to 294.27, 406.10 and 161.50

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Solution

The fourth proportional to 294.27, 406.10 and 161.50 is: 222.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.27 : 406.10 = 161.50 : x
  2. Step 2: Convert to fraction form
    294.27/406.10 = 161.50/x
  3. Step 3: Cross multiply
    294.27x = 406.10 × 161.50
  4. Step 4: Simplify right side
    294.27x = 65,582.31
  5. Step 5: Solve for x
    x = 65,582.31/294.27
  6. Step 6: Final answer
    x = 222.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.