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Finding the Fourth Proportional to 253.96, 350.47 and 149.05

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Solution

The fourth proportional to 253.96, 350.47 and 149.05 is: 205.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.96 : 350.47 = 149.05 : x
  2. Step 2: Convert to fraction form
    253.96/350.47 = 149.05/x
  3. Step 3: Cross multiply
    253.96x = 350.47 × 149.05
  4. Step 4: Simplify right side
    253.96x = 52,237.55
  5. Step 5: Solve for x
    x = 52,237.55/253.96
  6. Step 6: Final answer
    x = 205.69

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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.