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Finding the Fourth Proportional to 219.49, 302.81 and 140.82

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Solution

The fourth proportional to 219.49, 302.81 and 140.82 is: 194.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.49 : 302.81 = 140.82 : x
  2. Step 2: Convert to fraction form
    219.49/302.81 = 140.82/x
  3. Step 3: Cross multiply
    219.49x = 302.81 × 140.82
  4. Step 4: Simplify right side
    219.49x = 42,642.06
  5. Step 5: Solve for x
    x = 42,642.06/219.49
  6. Step 6: Final answer
    x = 194.28

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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.