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Finding the Fourth Proportional to 245.07, 338.18 and 162.23

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Solution

The fourth proportional to 245.07, 338.18 and 162.23 is: 223.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.07 : 338.18 = 162.23 : x
  2. Step 2: Convert to fraction form
    245.07/338.18 = 162.23/x
  3. Step 3: Cross multiply
    245.07x = 338.18 × 162.23
  4. Step 4: Simplify right side
    245.07x = 54,860.44
  5. Step 5: Solve for x
    x = 54,860.44/245.07
  6. Step 6: Final answer
    x = 223.86

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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.