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Finding the Fourth Proportional to 216.64, 298.74 and 161.38

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Solution

The fourth proportional to 216.64, 298.74 and 161.38 is: 222.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.64 : 298.74 = 161.38 : x
  2. Step 2: Convert to fraction form
    216.64/298.74 = 161.38/x
  3. Step 3: Cross multiply
    216.64x = 298.74 × 161.38
  4. Step 4: Simplify right side
    216.64x = 48,210.66
  5. Step 5: Solve for x
    x = 48,210.66/216.64
  6. Step 6: Final answer
    x = 222.54

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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.