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Finding the Fourth Proportional to 180.28, 248.94 and 141.64

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Solution

The fourth proportional to 180.28, 248.94 and 141.64 is: 195.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.28 : 248.94 = 141.64 : x
  2. Step 2: Convert to fraction form
    180.28/248.94 = 141.64/x
  3. Step 3: Cross multiply
    180.28x = 248.94 × 141.64
  4. Step 4: Simplify right side
    180.28x = 35,259.86
  5. Step 5: Solve for x
    x = 35,259.86/180.28
  6. Step 6: Final answer
    x = 195.58

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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.