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Finding the Fourth Proportional to 333.40, 460 and 193.44

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Solution

The fourth proportional to 333.40, 460 and 193.44 is: 266.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.40 : 460 = 193.44 : x
  2. Step 2: Convert to fraction form
    333.40/460 = 193.44/x
  3. Step 3: Cross multiply
    333.40x = 460 × 193.44
  4. Step 4: Simplify right side
    333.40x = 88,982.40
  5. Step 5: Solve for x
    x = 88,982.40/333.40
  6. Step 6: Final answer
    x = 266.89

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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.