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Finding the Fourth Proportional to 248.24, 342.64 and 161.04

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Solution

The fourth proportional to 248.24, 342.64 and 161.04 is: 222.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.24 : 342.64 = 161.04 : x
  2. Step 2: Convert to fraction form
    248.24/342.64 = 161.04/x
  3. Step 3: Cross multiply
    248.24x = 342.64 × 161.04
  4. Step 4: Simplify right side
    248.24x = 55,178.75
  5. Step 5: Solve for x
    x = 55,178.75/248.24
  6. Step 6: Final answer
    x = 222.28

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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.