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Finding the Fourth Proportional to 225.92, 340.44 and 186.23

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Solution

The fourth proportional to 225.92, 340.44 and 186.23 is: 280.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.92 : 340.44 = 186.23 : x
  2. Step 2: Convert to fraction form
    225.92/340.44 = 186.23/x
  3. Step 3: Cross multiply
    225.92x = 340.44 × 186.23
  4. Step 4: Simplify right side
    225.92x = 63,400.29
  5. Step 5: Solve for x
    x = 63,400.29/225.92
  6. Step 6: Final answer
    x = 280.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.