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Finding the Fourth Proportional to 285.69, 394.35 and 198.21

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Solution

The fourth proportional to 285.69, 394.35 and 198.21 is: 273.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.69 : 394.35 = 198.21 : x
  2. Step 2: Convert to fraction form
    285.69/394.35 = 198.21/x
  3. Step 3: Cross multiply
    285.69x = 394.35 × 198.21
  4. Step 4: Simplify right side
    285.69x = 78,164.11
  5. Step 5: Solve for x
    x = 78,164.11/285.69
  6. Step 6: Final answer
    x = 273.60

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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.