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Finding the Fourth Proportional to 294.55, 406.46 and 161.77

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Solution

The fourth proportional to 294.55, 406.46 and 161.77 is: 223.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.55 : 406.46 = 161.77 : x
  2. Step 2: Convert to fraction form
    294.55/406.46 = 161.77/x
  3. Step 3: Cross multiply
    294.55x = 406.46 × 161.77
  4. Step 4: Simplify right side
    294.55x = 65,753.87
  5. Step 5: Solve for x
    x = 65,753.87/294.55
  6. Step 6: Final answer
    x = 223.23

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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.