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Finding the Fourth Proportional to 225.86, 311.70 and 138.52

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Solution

The fourth proportional to 225.86, 311.70 and 138.52 is: 191.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.86 : 311.70 = 138.52 : x
  2. Step 2: Convert to fraction form
    225.86/311.70 = 138.52/x
  3. Step 3: Cross multiply
    225.86x = 311.70 × 138.52
  4. Step 4: Simplify right side
    225.86x = 43,176.68
  5. Step 5: Solve for x
    x = 43,176.68/225.86
  6. Step 6: Final answer
    x = 191.17

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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.