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Finding the Fourth Proportional to 225.76, 338.76 and 165

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Solution

The fourth proportional to 225.76, 338.76 and 165 is: 247.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.76 : 338.76 = 165 : x
  2. Step 2: Convert to fraction form
    225.76/338.76 = 165/x
  3. Step 3: Cross multiply
    225.76x = 338.76 × 165
  4. Step 4: Simplify right side
    225.76x = 55,895.40
  5. Step 5: Solve for x
    x = 55,895.40/225.76
  6. Step 6: Final answer
    x = 247.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.