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Finding the Fourth Proportional to 275.68, 412.75 and 198.28

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Solution

The fourth proportional to 275.68, 412.75 and 198.28 is: 296.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.68 : 412.75 = 198.28 : x
  2. Step 2: Convert to fraction form
    275.68/412.75 = 198.28/x
  3. Step 3: Cross multiply
    275.68x = 412.75 × 198.28
  4. Step 4: Simplify right side
    275.68x = 81,840.07
  5. Step 5: Solve for x
    x = 81,840.07/275.68
  6. Step 6: Final answer
    x = 296.87

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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.