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Finding the Fourth Proportional to 219.84, 303.36 and 161.52

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Solution

The fourth proportional to 219.84, 303.36 and 161.52 is: 222.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.84 : 303.36 = 161.52 : x
  2. Step 2: Convert to fraction form
    219.84/303.36 = 161.52/x
  3. Step 3: Cross multiply
    219.84x = 303.36 × 161.52
  4. Step 4: Simplify right side
    219.84x = 48,998.71
  5. Step 5: Solve for x
    x = 48,998.71/219.84
  6. Step 6: Final answer
    x = 222.88

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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.