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Finding the Fourth Proportional to 236.01, 324.90 and 180.73

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Solution

The fourth proportional to 236.01, 324.90 and 180.73 is: 248.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.01 : 324.90 = 180.73 : x
  2. Step 2: Convert to fraction form
    236.01/324.90 = 180.73/x
  3. Step 3: Cross multiply
    236.01x = 324.90 × 180.73
  4. Step 4: Simplify right side
    236.01x = 58,719.18
  5. Step 5: Solve for x
    x = 58,719.18/236.01
  6. Step 6: Final answer
    x = 248.80

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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.