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Finding the Fourth Proportional to 219.16, 302.29 and 161.11

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Solution

The fourth proportional to 219.16, 302.29 and 161.11 is: 222.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.16 : 302.29 = 161.11 : x
  2. Step 2: Convert to fraction form
    219.16/302.29 = 161.11/x
  3. Step 3: Cross multiply
    219.16x = 302.29 × 161.11
  4. Step 4: Simplify right side
    219.16x = 48,701.94
  5. Step 5: Solve for x
    x = 48,701.94/219.16
  6. Step 6: Final answer
    x = 222.22

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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.