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Finding the Fourth Proportional to 254.37, 350.95 and 161.08

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Solution

The fourth proportional to 254.37, 350.95 and 161.08 is: 222.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.37 : 350.95 = 161.08 : x
  2. Step 2: Convert to fraction form
    254.37/350.95 = 161.08/x
  3. Step 3: Cross multiply
    254.37x = 350.95 × 161.08
  4. Step 4: Simplify right side
    254.37x = 56,529.89
  5. Step 5: Solve for x
    x = 56,529.89/254.37
  6. Step 6: Final answer
    x = 222.24

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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.