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Finding the Fourth Proportional to 288.54, 398.18 and 164.21

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Solution

The fourth proportional to 288.54, 398.18 and 164.21 is: 226.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.54 : 398.18 = 164.21 : x
  2. Step 2: Convert to fraction form
    288.54/398.18 = 164.21/x
  3. Step 3: Cross multiply
    288.54x = 398.18 × 164.21
  4. Step 4: Simplify right side
    288.54x = 65,383.15
  5. Step 5: Solve for x
    x = 65,383.15/288.54
  6. Step 6: Final answer
    x = 226.60

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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.