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Finding the Fourth Proportional to 219.08, 302.12 and 140.26

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Solution

The fourth proportional to 219.08, 302.12 and 140.26 is: 193.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.08 : 302.12 = 140.26 : x
  2. Step 2: Convert to fraction form
    219.08/302.12 = 140.26/x
  3. Step 3: Cross multiply
    219.08x = 302.12 × 140.26
  4. Step 4: Simplify right side
    219.08x = 42,375.35
  5. Step 5: Solve for x
    x = 42,375.35/219.08
  6. Step 6: Final answer
    x = 193.42

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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.