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Finding the Fourth Proportional to 254.24, 350.83 and 149.32

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Solution

The fourth proportional to 254.24, 350.83 and 149.32 is: 206.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.24 : 350.83 = 149.32 : x
  2. Step 2: Convert to fraction form
    254.24/350.83 = 149.32/x
  3. Step 3: Cross multiply
    254.24x = 350.83 × 149.32
  4. Step 4: Simplify right side
    254.24x = 52,385.94
  5. Step 5: Solve for x
    x = 52,385.94/254.24
  6. Step 6: Final answer
    x = 206.05

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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.