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Finding the Fourth Proportional to 254.25, 350.91 and 150.75

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Solution

The fourth proportional to 254.25, 350.91 and 150.75 is: 208.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.25 : 350.91 = 150.75 : x
  2. Step 2: Convert to fraction form
    254.25/350.91 = 150.75/x
  3. Step 3: Cross multiply
    254.25x = 350.91 × 150.75
  4. Step 4: Simplify right side
    254.25x = 52,899.68
  5. Step 5: Solve for x
    x = 52,899.68/254.25
  6. Step 6: Final answer
    x = 208.06

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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.