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Finding the Fourth Proportional to 204.53, 305.17 and 197.24

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Solution

The fourth proportional to 204.53, 305.17 and 197.24 is: 294.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.53 : 305.17 = 197.24 : x
  2. Step 2: Convert to fraction form
    204.53/305.17 = 197.24/x
  3. Step 3: Cross multiply
    204.53x = 305.17 × 197.24
  4. Step 4: Simplify right side
    204.53x = 60,189.71
  5. Step 5: Solve for x
    x = 60,189.71/204.53
  6. Step 6: Final answer
    x = 294.29

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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.