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Finding the Fourth Proportional to 378.78, 522.69 and 223.50

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Solution

The fourth proportional to 378.78, 522.69 and 223.50 is: 308.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.78 : 522.69 = 223.50 : x
  2. Step 2: Convert to fraction form
    378.78/522.69 = 223.50/x
  3. Step 3: Cross multiply
    378.78x = 522.69 × 223.50
  4. Step 4: Simplify right side
    378.78x = 116,821.22
  5. Step 5: Solve for x
    x = 116,821.22/378.78
  6. Step 6: Final answer
    x = 308.41

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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.