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Finding the Fourth Proportional to 223.54, 334.96 and 142.14

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Solution

The fourth proportional to 223.54, 334.96 and 142.14 is: 212.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.54 : 334.96 = 142.14 : x
  2. Step 2: Convert to fraction form
    223.54/334.96 = 142.14/x
  3. Step 3: Cross multiply
    223.54x = 334.96 × 142.14
  4. Step 4: Simplify right side
    223.54x = 47,611.21
  5. Step 5: Solve for x
    x = 47,611.21/223.54
  6. Step 6: Final answer
    x = 212.99

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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.