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Finding the Fourth Proportional to 223.14, 334.22 and 184.18

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Solution

The fourth proportional to 223.14, 334.22 and 184.18 is: 275.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.14 : 334.22 = 184.18 : x
  2. Step 2: Convert to fraction form
    223.14/334.22 = 184.18/x
  3. Step 3: Cross multiply
    223.14x = 334.22 × 184.18
  4. Step 4: Simplify right side
    223.14x = 61,556.18
  5. Step 5: Solve for x
    x = 61,556.18/223.14
  6. Step 6: Final answer
    x = 275.87

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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.