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Finding the Fourth Proportional to 180.58, 248.92 and 125.37

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Solution

The fourth proportional to 180.58, 248.92 and 125.37 is: 172.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.58 : 248.92 = 125.37 : x
  2. Step 2: Convert to fraction form
    180.58/248.92 = 125.37/x
  3. Step 3: Cross multiply
    180.58x = 248.92 × 125.37
  4. Step 4: Simplify right side
    180.58x = 31,207.10
  5. Step 5: Solve for x
    x = 31,207.10/180.58
  6. Step 6: Final answer
    x = 172.82

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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.