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Finding the Fourth Proportional to 219.05, 302.43 and 136.27

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Solution

The fourth proportional to 219.05, 302.43 and 136.27 is: 188.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.05 : 302.43 = 136.27 : x
  2. Step 2: Convert to fraction form
    219.05/302.43 = 136.27/x
  3. Step 3: Cross multiply
    219.05x = 302.43 × 136.27
  4. Step 4: Simplify right side
    219.05x = 41,212.14
  5. Step 5: Solve for x
    x = 41,212.14/219.05
  6. Step 6: Final answer
    x = 188.14

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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.