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Finding the Fourth Proportional to 223.02, 334.06 and 194.15

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Solution

The fourth proportional to 223.02, 334.06 and 194.15 is: 290.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.02 : 334.06 = 194.15 : x
  2. Step 2: Convert to fraction form
    223.02/334.06 = 194.15/x
  3. Step 3: Cross multiply
    223.02x = 334.06 × 194.15
  4. Step 4: Simplify right side
    223.02x = 64,858.10
  5. Step 5: Solve for x
    x = 64,858.10/223.02
  6. Step 6: Final answer
    x = 290.82

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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.