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Finding the Fourth Proportional to 288.15, 398.23 and 218.19

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Solution

The fourth proportional to 288.15, 398.23 and 218.19 is: 301.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.15 : 398.23 = 218.19 : x
  2. Step 2: Convert to fraction form
    288.15/398.23 = 218.19/x
  3. Step 3: Cross multiply
    288.15x = 398.23 × 218.19
  4. Step 4: Simplify right side
    288.15x = 86,889.80
  5. Step 5: Solve for x
    x = 86,889.80/288.15
  6. Step 6: Final answer
    x = 301.54

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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.