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Finding the Fourth Proportional to 220.98, 304.36 and 205.03

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Solution

The fourth proportional to 220.98, 304.36 and 205.03 is: 282.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.98 : 304.36 = 205.03 : x
  2. Step 2: Convert to fraction form
    220.98/304.36 = 205.03/x
  3. Step 3: Cross multiply
    220.98x = 304.36 × 205.03
  4. Step 4: Simplify right side
    220.98x = 62,402.80
  5. Step 5: Solve for x
    x = 62,402.80/220.98
  6. Step 6: Final answer
    x = 282.39

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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.