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Finding the Fourth Proportional to 219.81, 302.90 and 161.49

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Solution

The fourth proportional to 219.81, 302.90 and 161.49 is: 222.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.81 : 302.90 = 161.49 : x
  2. Step 2: Convert to fraction form
    219.81/302.90 = 161.49/x
  3. Step 3: Cross multiply
    219.81x = 302.90 × 161.49
  4. Step 4: Simplify right side
    219.81x = 48,914.51
  5. Step 5: Solve for x
    x = 48,914.51/219.81
  6. Step 6: Final answer
    x = 222.53

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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.