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Finding the Fourth Proportional to 631.06, 946.47 and 198.22

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Solution

The fourth proportional to 631.06, 946.47 and 198.22 is: 297.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.06 : 946.47 = 198.22 : x
  2. Step 2: Convert to fraction form
    631.06/946.47 = 198.22/x
  3. Step 3: Cross multiply
    631.06x = 946.47 × 198.22
  4. Step 4: Simplify right side
    631.06x = 187,609.28
  5. Step 5: Solve for x
    x = 187,609.28/631.06
  6. Step 6: Final answer
    x = 297.29

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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.