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Finding the Fourth Proportional to 180.41, 270.77 and 176.84

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Solution

The fourth proportional to 180.41, 270.77 and 176.84 is: 265.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.41 : 270.77 = 176.84 : x
  2. Step 2: Convert to fraction form
    180.41/270.77 = 176.84/x
  3. Step 3: Cross multiply
    180.41x = 270.77 × 176.84
  4. Step 4: Simplify right side
    180.41x = 47,880.73
  5. Step 5: Solve for x
    x = 47,880.73/180.41
  6. Step 6: Final answer
    x = 265.41

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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.