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Finding the Fourth Proportional to 180.37, 248.95 and 110.44

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Solution

The fourth proportional to 180.37, 248.95 and 110.44 is: 152.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.37 : 248.95 = 110.44 : x
  2. Step 2: Convert to fraction form
    180.37/248.95 = 110.44/x
  3. Step 3: Cross multiply
    180.37x = 248.95 × 110.44
  4. Step 4: Simplify right side
    180.37x = 27,494.04
  5. Step 5: Solve for x
    x = 27,494.04/180.37
  6. Step 6: Final answer
    x = 152.43

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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.