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Finding the Fourth Proportional to 230.21, 344.26 and 171.75

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Solution

The fourth proportional to 230.21, 344.26 and 171.75 is: 256.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.21 : 344.26 = 171.75 : x
  2. Step 2: Convert to fraction form
    230.21/344.26 = 171.75/x
  3. Step 3: Cross multiply
    230.21x = 344.26 × 171.75
  4. Step 4: Simplify right side
    230.21x = 59,126.66
  5. Step 5: Solve for x
    x = 59,126.66/230.21
  6. Step 6: Final answer
    x = 256.84

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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.