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Finding the Fourth Proportional to 250.14, 345.20 and 161.64

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Solution

The fourth proportional to 250.14, 345.20 and 161.64 is: 223.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.14 : 345.20 = 161.64 : x
  2. Step 2: Convert to fraction form
    250.14/345.20 = 161.64/x
  3. Step 3: Cross multiply
    250.14x = 345.20 × 161.64
  4. Step 4: Simplify right side
    250.14x = 55,797.32
  5. Step 5: Solve for x
    x = 55,797.32/250.14
  6. Step 6: Final answer
    x = 223.06

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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.