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Finding the Fourth Proportional to 225.37, 311.06 and 142.42

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Solution

The fourth proportional to 225.37, 311.06 and 142.42 is: 196.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.37 : 311.06 = 142.42 : x
  2. Step 2: Convert to fraction form
    225.37/311.06 = 142.42/x
  3. Step 3: Cross multiply
    225.37x = 311.06 × 142.42
  4. Step 4: Simplify right side
    225.37x = 44,301.17
  5. Step 5: Solve for x
    x = 44,301.17/225.37
  6. Step 6: Final answer
    x = 196.57

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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.