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Finding the Fourth Proportional to 333.09, 459.69 and 193.21

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Solution

The fourth proportional to 333.09, 459.69 and 193.21 is: 266.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.09 : 459.69 = 193.21 : x
  2. Step 2: Convert to fraction form
    333.09/459.69 = 193.21/x
  3. Step 3: Cross multiply
    333.09x = 459.69 × 193.21
  4. Step 4: Simplify right side
    333.09x = 88,816.40
  5. Step 5: Solve for x
    x = 88,816.40/333.09
  6. Step 6: Final answer
    x = 266.65

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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.