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Finding the Fourth Proportional to 310.12, 428.16 and 198.10

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Solution

The fourth proportional to 310.12, 428.16 and 198.10 is: 273.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.12 : 428.16 = 198.10 : x
  2. Step 2: Convert to fraction form
    310.12/428.16 = 198.10/x
  3. Step 3: Cross multiply
    310.12x = 428.16 × 198.10
  4. Step 4: Simplify right side
    310.12x = 84,818.50
  5. Step 5: Solve for x
    x = 84,818.50/310.12
  6. Step 6: Final answer
    x = 273.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.