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Finding the Fourth Proportional to 180.31, 248.73 and 110.41

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Solution

The fourth proportional to 180.31, 248.73 and 110.41 is: 152.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.31 : 248.73 = 110.41 : x
  2. Step 2: Convert to fraction form
    180.31/248.73 = 110.41/x
  3. Step 3: Cross multiply
    180.31x = 248.73 × 110.41
  4. Step 4: Simplify right side
    180.31x = 27,462.28
  5. Step 5: Solve for x
    x = 27,462.28/180.31
  6. Step 6: Final answer
    x = 152.31

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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.