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Finding the Fourth Proportional to 223.37, 334.60 and 174.57

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Solution

The fourth proportional to 223.37, 334.60 and 174.57 is: 261.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.37 : 334.60 = 174.57 : x
  2. Step 2: Convert to fraction form
    223.37/334.60 = 174.57/x
  3. Step 3: Cross multiply
    223.37x = 334.60 × 174.57
  4. Step 4: Simplify right side
    223.37x = 58,410.69
  5. Step 5: Solve for x
    x = 58,410.69/223.37
  6. Step 6: Final answer
    x = 261.49

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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.