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Finding the Fourth Proportional to 225.56, 311.42 and 142.70

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Solution

The fourth proportional to 225.56, 311.42 and 142.70 is: 197.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.56 : 311.42 = 142.70 : x
  2. Step 2: Convert to fraction form
    225.56/311.42 = 142.70/x
  3. Step 3: Cross multiply
    225.56x = 311.42 × 142.70
  4. Step 4: Simplify right side
    225.56x = 44,439.63
  5. Step 5: Solve for x
    x = 44,439.63/225.56
  6. Step 6: Final answer
    x = 197.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.