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Finding the Fourth Proportional to 248.96, 343.60 and 189.85

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Solution

The fourth proportional to 248.96, 343.60 and 189.85 is: 262.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.96 : 343.60 = 189.85 : x
  2. Step 2: Convert to fraction form
    248.96/343.60 = 189.85/x
  3. Step 3: Cross multiply
    248.96x = 343.60 × 189.85
  4. Step 4: Simplify right side
    248.96x = 65,232.46
  5. Step 5: Solve for x
    x = 65,232.46/248.96
  6. Step 6: Final answer
    x = 262.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.