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Finding the Fourth Proportional to 180.06, 248.06 and 158.86

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Solution

The fourth proportional to 180.06, 248.06 and 158.86 is: 218.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.06 : 248.06 = 158.86 : x
  2. Step 2: Convert to fraction form
    180.06/248.06 = 158.86/x
  3. Step 3: Cross multiply
    180.06x = 248.06 × 158.86
  4. Step 4: Simplify right side
    180.06x = 39,407.52
  5. Step 5: Solve for x
    x = 39,407.52/180.06
  6. Step 6: Final answer
    x = 218.86

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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.