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Finding the Fourth Proportional to 204.43, 305.14 and 180.13

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Solution

The fourth proportional to 204.43, 305.14 and 180.13 is: 268.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.43 : 305.14 = 180.13 : x
  2. Step 2: Convert to fraction form
    204.43/305.14 = 180.13/x
  3. Step 3: Cross multiply
    204.43x = 305.14 × 180.13
  4. Step 4: Simplify right side
    204.43x = 54,963.34
  5. Step 5: Solve for x
    x = 54,963.34/204.43
  6. Step 6: Final answer
    x = 268.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.