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Finding the Fourth Proportional to 242.89, 335.31 and 164.62

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Solution

The fourth proportional to 242.89, 335.31 and 164.62 is: 227.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.89 : 335.31 = 164.62 : x
  2. Step 2: Convert to fraction form
    242.89/335.31 = 164.62/x
  3. Step 3: Cross multiply
    242.89x = 335.31 × 164.62
  4. Step 4: Simplify right side
    242.89x = 55,197.57
  5. Step 5: Solve for x
    x = 55,197.57/242.89
  6. Step 6: Final answer
    x = 227.26

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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.