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Finding the Fourth Proportional to 223, 334.14 and 174.64

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Solution

The fourth proportional to 223, 334.14 and 174.64 is: 261.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    223 : 334.14 = 174.64 : x
  2. Step 2: Convert to fraction form
    223/334.14 = 174.64/x
  3. Step 3: Cross multiply
    223x = 334.14 × 174.64
  4. Step 4: Simplify right side
    223x = 58,354.21
  5. Step 5: Solve for x
    x = 58,354.21/223
  6. Step 6: Final answer
    x = 261.68

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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.