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Finding the Fourth Proportional to 312.06, 468.21 and 198.06

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Solution

The fourth proportional to 312.06, 468.21 and 198.06 is: 297.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.06 : 468.21 = 198.06 : x
  2. Step 2: Convert to fraction form
    312.06/468.21 = 198.06/x
  3. Step 3: Cross multiply
    312.06x = 468.21 × 198.06
  4. Step 4: Simplify right side
    312.06x = 92,733.67
  5. Step 5: Solve for x
    x = 92,733.67/312.06
  6. Step 6: Final answer
    x = 297.17

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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.