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Finding the Fourth Proportional to 224.35, 334.85 and 194.94

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Solution

The fourth proportional to 224.35, 334.85 and 194.94 is: 290.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.35 : 334.85 = 194.94 : x
  2. Step 2: Convert to fraction form
    224.35/334.85 = 194.94/x
  3. Step 3: Cross multiply
    224.35x = 334.85 × 194.94
  4. Step 4: Simplify right side
    224.35x = 65,275.66
  5. Step 5: Solve for x
    x = 65,275.66/224.35
  6. Step 6: Final answer
    x = 290.95

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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.