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Finding the Fourth Proportional to 204.17, 305.85 and 126.95

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Solution

The fourth proportional to 204.17, 305.85 and 126.95 is: 190.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.17 : 305.85 = 126.95 : x
  2. Step 2: Convert to fraction form
    204.17/305.85 = 126.95/x
  3. Step 3: Cross multiply
    204.17x = 305.85 × 126.95
  4. Step 4: Simplify right side
    204.17x = 38,827.66
  5. Step 5: Solve for x
    x = 38,827.66/204.17
  6. Step 6: Final answer
    x = 190.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.