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Finding the Fourth Proportional to 180.62, 270.74 and 165.59

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Solution

The fourth proportional to 180.62, 270.74 and 165.59 is: 248.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.62 : 270.74 = 165.59 : x
  2. Step 2: Convert to fraction form
    180.62/270.74 = 165.59/x
  3. Step 3: Cross multiply
    180.62x = 270.74 × 165.59
  4. Step 4: Simplify right side
    180.62x = 44,829.65
  5. Step 5: Solve for x
    x = 44,829.65/180.62
  6. Step 6: Final answer
    x = 248.21

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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.