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Finding the Fourth Proportional to 180.32, 248.98 and 125.24

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Solution

The fourth proportional to 180.32, 248.98 and 125.24 is: 172.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.32 : 248.98 = 125.24 : x
  2. Step 2: Convert to fraction form
    180.32/248.98 = 125.24/x
  3. Step 3: Cross multiply
    180.32x = 248.98 × 125.24
  4. Step 4: Simplify right side
    180.32x = 31,182.26
  5. Step 5: Solve for x
    x = 31,182.26/180.32
  6. Step 6: Final answer
    x = 172.93

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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.