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Finding the Fourth Proportional to 226.14, 338.76 and 117.66

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Solution

The fourth proportional to 226.14, 338.76 and 117.66 is: 176.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.14 : 338.76 = 117.66 : x
  2. Step 2: Convert to fraction form
    226.14/338.76 = 117.66/x
  3. Step 3: Cross multiply
    226.14x = 338.76 × 117.66
  4. Step 4: Simplify right side
    226.14x = 39,858.50
  5. Step 5: Solve for x
    x = 39,858.50/226.14
  6. Step 6: Final answer
    x = 176.26

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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.