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Finding the Fourth Proportional to 175.96, 264.17 and 94.86

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Solution

The fourth proportional to 175.96, 264.17 and 94.86 is: 142.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.96 : 264.17 = 94.86 : x
  2. Step 2: Convert to fraction form
    175.96/264.17 = 94.86/x
  3. Step 3: Cross multiply
    175.96x = 264.17 × 94.86
  4. Step 4: Simplify right side
    175.96x = 25,059.17
  5. Step 5: Solve for x
    x = 25,059.17/175.96
  6. Step 6: Final answer
    x = 142.41

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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.