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Finding the Fourth Proportional to 180.07, 248.19 and 164.58

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Solution

The fourth proportional to 180.07, 248.19 and 164.58 is: 226.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.07 : 248.19 = 164.58 : x
  2. Step 2: Convert to fraction form
    180.07/248.19 = 164.58/x
  3. Step 3: Cross multiply
    180.07x = 248.19 × 164.58
  4. Step 4: Simplify right side
    180.07x = 40,845.87
  5. Step 5: Solve for x
    x = 40,845.87/180.07
  6. Step 6: Final answer
    x = 226.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.