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Finding the Fourth Proportional to 225.45, 311.04 and 142.56

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Solution

The fourth proportional to 225.45, 311.04 and 142.56 is: 196.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.45 : 311.04 = 142.56 : x
  2. Step 2: Convert to fraction form
    225.45/311.04 = 142.56/x
  3. Step 3: Cross multiply
    225.45x = 311.04 × 142.56
  4. Step 4: Simplify right side
    225.45x = 44,341.86
  5. Step 5: Solve for x
    x = 44,341.86/225.45
  6. Step 6: Final answer
    x = 196.68

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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.