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Finding the Fourth Proportional to 180.22, 248.69 and 106.56

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Solution

The fourth proportional to 180.22, 248.69 and 106.56 is: 147.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.22 : 248.69 = 106.56 : x
  2. Step 2: Convert to fraction form
    180.22/248.69 = 106.56/x
  3. Step 3: Cross multiply
    180.22x = 248.69 × 106.56
  4. Step 4: Simplify right side
    180.22x = 26,499.16
  5. Step 5: Solve for x
    x = 26,499.16/180.22
  6. Step 6: Final answer
    x = 147.04

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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.