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Finding the Fourth Proportional to 219.42, 302.75 and 135.37

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Solution

The fourth proportional to 219.42, 302.75 and 135.37 is: 186.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.42 : 302.75 = 135.37 : x
  2. Step 2: Convert to fraction form
    219.42/302.75 = 135.37/x
  3. Step 3: Cross multiply
    219.42x = 302.75 × 135.37
  4. Step 4: Simplify right side
    219.42x = 40,982.85
  5. Step 5: Solve for x
    x = 40,982.85/219.42
  6. Step 6: Final answer
    x = 186.78

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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.