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Finding the Fourth Proportional to 180, 248.22 and 147.15

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Solution

The fourth proportional to 180, 248.22 and 147.15 is: 202.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    180 : 248.22 = 147.15 : x
  2. Step 2: Convert to fraction form
    180/248.22 = 147.15/x
  3. Step 3: Cross multiply
    180x = 248.22 × 147.15
  4. Step 4: Simplify right side
    180x = 36,525.57
  5. Step 5: Solve for x
    x = 36,525.57/180
  6. Step 6: Final answer
    x = 202.92

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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.