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Finding the Fourth Proportional to 226.63, 338.54 and 175.15

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Solution

The fourth proportional to 226.63, 338.54 and 175.15 is: 261.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.63 : 338.54 = 175.15 : x
  2. Step 2: Convert to fraction form
    226.63/338.54 = 175.15/x
  3. Step 3: Cross multiply
    226.63x = 338.54 × 175.15
  4. Step 4: Simplify right side
    226.63x = 59,295.28
  5. Step 5: Solve for x
    x = 59,295.28/226.63
  6. Step 6: Final answer
    x = 261.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.