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Finding the Fourth Proportional to 179.67, 270.48 and 125.94

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Solution

The fourth proportional to 179.67, 270.48 and 125.94 is: 189.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.67 : 270.48 = 125.94 : x
  2. Step 2: Convert to fraction form
    179.67/270.48 = 125.94/x
  3. Step 3: Cross multiply
    179.67x = 270.48 × 125.94
  4. Step 4: Simplify right side
    179.67x = 34,064.25
  5. Step 5: Solve for x
    x = 34,064.25/179.67
  6. Step 6: Final answer
    x = 189.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.