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Finding the Fourth Proportional to 254.25, 350.95 and 162.25

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Solution

The fourth proportional to 254.25, 350.95 and 162.25 is: 223.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.25 : 350.95 = 162.25 : x
  2. Step 2: Convert to fraction form
    254.25/350.95 = 162.25/x
  3. Step 3: Cross multiply
    254.25x = 350.95 × 162.25
  4. Step 4: Simplify right side
    254.25x = 56,940.83
  5. Step 5: Solve for x
    x = 56,940.83/254.25
  6. Step 6: Final answer
    x = 223.96

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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.