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Finding the Fourth Proportional to 219.72, 303.10 and 204.08

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Solution

The fourth proportional to 219.72, 303.10 and 204.08 is: 281.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.72 : 303.10 = 204.08 : x
  2. Step 2: Convert to fraction form
    219.72/303.10 = 204.08/x
  3. Step 3: Cross multiply
    219.72x = 303.10 × 204.08
  4. Step 4: Simplify right side
    219.72x = 61,857.41
  5. Step 5: Solve for x
    x = 61,857.41/219.72
  6. Step 6: Final answer
    x = 281.53

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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.