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Finding the Fourth Proportional to 224.30, 336.84 and 194.36

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Solution

The fourth proportional to 224.30, 336.84 and 194.36 is: 291.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.30 : 336.84 = 194.36 : x
  2. Step 2: Convert to fraction form
    224.30/336.84 = 194.36/x
  3. Step 3: Cross multiply
    224.30x = 336.84 × 194.36
  4. Step 4: Simplify right side
    224.30x = 65,468.22
  5. Step 5: Solve for x
    x = 65,468.22/224.30
  6. Step 6: Final answer
    x = 291.88

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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.