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Finding the Fourth Proportional to 222.94, 335.65 and 174.46

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Solution

The fourth proportional to 222.94, 335.65 and 174.46 is: 262.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.94 : 335.65 = 174.46 : x
  2. Step 2: Convert to fraction form
    222.94/335.65 = 174.46/x
  3. Step 3: Cross multiply
    222.94x = 335.65 × 174.46
  4. Step 4: Simplify right side
    222.94x = 58,556.26
  5. Step 5: Solve for x
    x = 58,556.26/222.94
  6. Step 6: Final answer
    x = 262.65

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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.