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Finding the Fourth Proportional to 248.20, 370.40 and 231.04

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Solution

The fourth proportional to 248.20, 370.40 and 231.04 is: 344.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.20 : 370.40 = 231.04 : x
  2. Step 2: Convert to fraction form
    248.20/370.40 = 231.04/x
  3. Step 3: Cross multiply
    248.20x = 370.40 × 231.04
  4. Step 4: Simplify right side
    248.20x = 85,577.22
  5. Step 5: Solve for x
    x = 85,577.22/248.20
  6. Step 6: Final answer
    x = 344.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.