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Finding the Fourth Proportional to 248.75, 343.37 and 165.98

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Solution

The fourth proportional to 248.75, 343.37 and 165.98 is: 229.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.75 : 343.37 = 165.98 : x
  2. Step 2: Convert to fraction form
    248.75/343.37 = 165.98/x
  3. Step 3: Cross multiply
    248.75x = 343.37 × 165.98
  4. Step 4: Simplify right side
    248.75x = 56,990.01
  5. Step 5: Solve for x
    x = 56,990.01/248.75
  6. Step 6: Final answer
    x = 229.11

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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.