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Finding the Fourth Proportional to 333.78, 461 and 223.06

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Solution

The fourth proportional to 333.78, 461 and 223.06 is: 308.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.78 : 461 = 223.06 : x
  2. Step 2: Convert to fraction form
    333.78/461 = 223.06/x
  3. Step 3: Cross multiply
    333.78x = 461 × 223.06
  4. Step 4: Simplify right side
    333.78x = 102,830.66
  5. Step 5: Solve for x
    x = 102,830.66/333.78
  6. Step 6: Final answer
    x = 308.08

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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.