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Finding the Fourth Proportional to 608.93, 913.38 and 198.08

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Solution

The fourth proportional to 608.93, 913.38 and 198.08 is: 297.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.93 : 913.38 = 198.08 : x
  2. Step 2: Convert to fraction form
    608.93/913.38 = 198.08/x
  3. Step 3: Cross multiply
    608.93x = 913.38 × 198.08
  4. Step 4: Simplify right side
    608.93x = 180,922.31
  5. Step 5: Solve for x
    x = 180,922.31/608.93
  6. Step 6: Final answer
    x = 297.12

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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.