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Finding the Fourth Proportional to 224.40, 335.71 and 194.29

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Solution

The fourth proportional to 224.40, 335.71 and 194.29 is: 290.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.40 : 335.71 = 194.29 : x
  2. Step 2: Convert to fraction form
    224.40/335.71 = 194.29/x
  3. Step 3: Cross multiply
    224.40x = 335.71 × 194.29
  4. Step 4: Simplify right side
    224.40x = 65,225.10
  5. Step 5: Solve for x
    x = 65,225.10/224.40
  6. Step 6: Final answer
    x = 290.66

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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.