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Finding the Fourth Proportional to 333, 459.66 and 193.20

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Solution

The fourth proportional to 333, 459.66 and 193.20 is: 266.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    333 : 459.66 = 193.20 : x
  2. Step 2: Convert to fraction form
    333/459.66 = 193.20/x
  3. Step 3: Cross multiply
    333x = 459.66 × 193.20
  4. Step 4: Simplify right side
    333x = 88,806.31
  5. Step 5: Solve for x
    x = 88,806.31/333
  6. Step 6: Final answer
    x = 266.69

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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.