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Finding the Fourth Proportional to 180.20, 248.66 and 102.57

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Solution

The fourth proportional to 180.20, 248.66 and 102.57 is: 141.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.20 : 248.66 = 102.57 : x
  2. Step 2: Convert to fraction form
    180.20/248.66 = 102.57/x
  3. Step 3: Cross multiply
    180.20x = 248.66 × 102.57
  4. Step 4: Simplify right side
    180.20x = 25,504.54
  5. Step 5: Solve for x
    x = 25,504.54/180.20
  6. Step 6: Final answer
    x = 141.54

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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.