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Finding the Fourth Proportional to 196.80, 270.72 and 162.24

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Solution

The fourth proportional to 196.80, 270.72 and 162.24 is: 223.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.80 : 270.72 = 162.24 : x
  2. Step 2: Convert to fraction form
    196.80/270.72 = 162.24/x
  3. Step 3: Cross multiply
    196.80x = 270.72 × 162.24
  4. Step 4: Simplify right side
    196.80x = 43,921.61
  5. Step 5: Solve for x
    x = 43,921.61/196.80
  6. Step 6: Final answer
    x = 223.18

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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.