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Finding the Fourth Proportional to 253.90, 350.44 and 149.02

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Solution

The fourth proportional to 253.90, 350.44 and 149.02 is: 205.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.90 : 350.44 = 149.02 : x
  2. Step 2: Convert to fraction form
    253.90/350.44 = 149.02/x
  3. Step 3: Cross multiply
    253.90x = 350.44 × 149.02
  4. Step 4: Simplify right side
    253.90x = 52,222.57
  5. Step 5: Solve for x
    x = 52,222.57/253.90
  6. Step 6: Final answer
    x = 205.68

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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.