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Finding the Fourth Proportional to 288.55, 398.21 and 164.22

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Solution

The fourth proportional to 288.55, 398.21 and 164.22 is: 226.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.55 : 398.21 = 164.22 : x
  2. Step 2: Convert to fraction form
    288.55/398.21 = 164.22/x
  3. Step 3: Cross multiply
    288.55x = 398.21 × 164.22
  4. Step 4: Simplify right side
    288.55x = 65,394.05
  5. Step 5: Solve for x
    x = 65,394.05/288.55
  6. Step 6: Final answer
    x = 226.63

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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.