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Finding the Fourth Proportional to 333.14, 459.64 and 198.53

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Solution

The fourth proportional to 333.14, 459.64 and 198.53 is: 273.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.14 : 459.64 = 198.53 : x
  2. Step 2: Convert to fraction form
    333.14/459.64 = 198.53/x
  3. Step 3: Cross multiply
    333.14x = 459.64 × 198.53
  4. Step 4: Simplify right side
    333.14x = 91,249.53
  5. Step 5: Solve for x
    x = 91,249.53/333.14
  6. Step 6: Final answer
    x = 273.91

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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.