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Finding the Fourth Proportional to 378.25, 522 and 223.09

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Solution

The fourth proportional to 378.25, 522 and 223.09 is: 307.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.25 : 522 = 223.09 : x
  2. Step 2: Convert to fraction form
    378.25/522 = 223.09/x
  3. Step 3: Cross multiply
    378.25x = 522 × 223.09
  4. Step 4: Simplify right side
    378.25x = 116,452.98
  5. Step 5: Solve for x
    x = 116,452.98/378.25
  6. Step 6: Final answer
    x = 307.87

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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.