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Finding the Fourth Proportional to 180.18, 248.31 and 117.90

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Solution

The fourth proportional to 180.18, 248.31 and 117.90 is: 162.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.18 : 248.31 = 117.90 : x
  2. Step 2: Convert to fraction form
    180.18/248.31 = 117.90/x
  3. Step 3: Cross multiply
    180.18x = 248.31 × 117.90
  4. Step 4: Simplify right side
    180.18x = 29,275.75
  5. Step 5: Solve for x
    x = 29,275.75/180.18
  6. Step 6: Final answer
    x = 162.48

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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.