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Finding the Fourth Proportional to 180.12, 248.53 and 102.50

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Solution

The fourth proportional to 180.12, 248.53 and 102.50 is: 141.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.12 : 248.53 = 102.50 : x
  2. Step 2: Convert to fraction form
    180.12/248.53 = 102.50/x
  3. Step 3: Cross multiply
    180.12x = 248.53 × 102.50
  4. Step 4: Simplify right side
    180.12x = 25,474.33
  5. Step 5: Solve for x
    x = 25,474.33/180.12
  6. Step 6: Final answer
    x = 141.43

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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.