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Finding the Fourth Proportional to 180.22, 248.65 and 110.27

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Solution

The fourth proportional to 180.22, 248.65 and 110.27 is: 152.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.22 : 248.65 = 110.27 : x
  2. Step 2: Convert to fraction form
    180.22/248.65 = 110.27/x
  3. Step 3: Cross multiply
    180.22x = 248.65 × 110.27
  4. Step 4: Simplify right side
    180.22x = 27,418.64
  5. Step 5: Solve for x
    x = 27,418.64/180.22
  6. Step 6: Final answer
    x = 152.14

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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.