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Finding the Fourth Proportional to 254.31, 350.89 and 150.75

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Solution

The fourth proportional to 254.31, 350.89 and 150.75 is: 208.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.31 : 350.89 = 150.75 : x
  2. Step 2: Convert to fraction form
    254.31/350.89 = 150.75/x
  3. Step 3: Cross multiply
    254.31x = 350.89 × 150.75
  4. Step 4: Simplify right side
    254.31x = 52,896.67
  5. Step 5: Solve for x
    x = 52,896.67/254.31
  6. Step 6: Final answer
    x = 208.00

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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.