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Finding the Fourth Proportional to 285.26, 393.53 and 198.05

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Solution

The fourth proportional to 285.26, 393.53 and 198.05 is: 273.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.26 : 393.53 = 198.05 : x
  2. Step 2: Convert to fraction form
    285.26/393.53 = 198.05/x
  3. Step 3: Cross multiply
    285.26x = 393.53 × 198.05
  4. Step 4: Simplify right side
    285.26x = 77,935.66
  5. Step 5: Solve for x
    x = 77,935.66/285.26
  6. Step 6: Final answer
    x = 273.21

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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.