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Finding the Fourth Proportional to 631.09, 946.67 and 198.25

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Solution

The fourth proportional to 631.09, 946.67 and 198.25 is: 297.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.09 : 946.67 = 198.25 : x
  2. Step 2: Convert to fraction form
    631.09/946.67 = 198.25/x
  3. Step 3: Cross multiply
    631.09x = 946.67 × 198.25
  4. Step 4: Simplify right side
    631.09x = 187,677.33
  5. Step 5: Solve for x
    x = 187,677.33/631.09
  6. Step 6: Final answer
    x = 297.39

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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.