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Finding the Fourth Proportional to 254.09, 350.61 and 155.83

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Solution

The fourth proportional to 254.09, 350.61 and 155.83 is: 215.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.09 : 350.61 = 155.83 : x
  2. Step 2: Convert to fraction form
    254.09/350.61 = 155.83/x
  3. Step 3: Cross multiply
    254.09x = 350.61 × 155.83
  4. Step 4: Simplify right side
    254.09x = 54,635.56
  5. Step 5: Solve for x
    x = 54,635.56/254.09
  6. Step 6: Final answer
    x = 215.02

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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.