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Finding the Fourth Proportional to 608.98, 913.74 and 198.25

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Solution

The fourth proportional to 608.98, 913.74 and 198.25 is: 297.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.98 : 913.74 = 198.25 : x
  2. Step 2: Convert to fraction form
    608.98/913.74 = 198.25/x
  3. Step 3: Cross multiply
    608.98x = 913.74 × 198.25
  4. Step 4: Simplify right side
    608.98x = 181,143.40
  5. Step 5: Solve for x
    x = 181,143.40/608.98
  6. Step 6: Final answer
    x = 297.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.