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Finding the Fourth Proportional to 180.95, 249.71 and 174.41

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Solution

The fourth proportional to 180.95, 249.71 and 174.41 is: 240.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.95 : 249.71 = 174.41 : x
  2. Step 2: Convert to fraction form
    180.95/249.71 = 174.41/x
  3. Step 3: Cross multiply
    180.95x = 249.71 × 174.41
  4. Step 4: Simplify right side
    180.95x = 43,549.80
  5. Step 5: Solve for x
    x = 43,549.80/180.95
  6. Step 6: Final answer
    x = 240.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.