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Finding the Fourth Proportional to 171.34, 256.86 and 94.30

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Solution

The fourth proportional to 171.34, 256.86 and 94.30 is: 141.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.34 : 256.86 = 94.30 : x
  2. Step 2: Convert to fraction form
    171.34/256.86 = 94.30/x
  3. Step 3: Cross multiply
    171.34x = 256.86 × 94.30
  4. Step 4: Simplify right side
    171.34x = 24,221.90
  5. Step 5: Solve for x
    x = 24,221.90/171.34
  6. Step 6: Final answer
    x = 141.37

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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.