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Finding the Fourth Proportional to 253.98, 350.49 and 149.07

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Solution

The fourth proportional to 253.98, 350.49 and 149.07 is: 205.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.98 : 350.49 = 149.07 : x
  2. Step 2: Convert to fraction form
    253.98/350.49 = 149.07/x
  3. Step 3: Cross multiply
    253.98x = 350.49 × 149.07
  4. Step 4: Simplify right side
    253.98x = 52,247.54
  5. Step 5: Solve for x
    x = 52,247.54/253.98
  6. Step 6: Final answer
    x = 205.72

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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.