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Finding the Fourth Proportional to 249.89, 345.00 and 161.40

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Solution

The fourth proportional to 249.89, 345.00 and 161.40 is: 222.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.89 : 345.00 = 161.40 : x
  2. Step 2: Convert to fraction form
    249.89/345.00 = 161.40/x
  3. Step 3: Cross multiply
    249.89x = 345.00 × 161.40
  4. Step 4: Simplify right side
    249.89x = 55,684.90
  5. Step 5: Solve for x
    x = 55,684.90/249.89
  6. Step 6: Final answer
    x = 222.84

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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.