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Finding the Fourth Proportional to 219.14, 301.82 and 204.02

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Solution

The fourth proportional to 219.14, 301.82 and 204.02 is: 281.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.14 : 301.82 = 204.02 : x
  2. Step 2: Convert to fraction form
    219.14/301.82 = 204.02/x
  3. Step 3: Cross multiply
    219.14x = 301.82 × 204.02
  4. Step 4: Simplify right side
    219.14x = 61,577.32
  5. Step 5: Solve for x
    x = 61,577.32/219.14
  6. Step 6: Final answer
    x = 281.00

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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.