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Finding the Fourth Proportional to 333.09, 459.73 and 193.23

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Solution

The fourth proportional to 333.09, 459.73 and 193.23 is: 266.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.09 : 459.73 = 193.23 : x
  2. Step 2: Convert to fraction form
    333.09/459.73 = 193.23/x
  3. Step 3: Cross multiply
    333.09x = 459.73 × 193.23
  4. Step 4: Simplify right side
    333.09x = 88,833.63
  5. Step 5: Solve for x
    x = 88,833.63/333.09
  6. Step 6: Final answer
    x = 266.70

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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.