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Finding the Fourth Proportional to 180.33, 248.74 and 125.00

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Solution

The fourth proportional to 180.33, 248.74 and 125.00 is: 172.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.33 : 248.74 = 125.00 : x
  2. Step 2: Convert to fraction form
    180.33/248.74 = 125.00/x
  3. Step 3: Cross multiply
    180.33x = 248.74 × 125.00
  4. Step 4: Simplify right side
    180.33x = 31,091.88
  5. Step 5: Solve for x
    x = 31,091.88/180.33
  6. Step 6: Final answer
    x = 172.41

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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.