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Finding the Fourth Proportional to 301.12, 414.80 and 223.36

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Solution

The fourth proportional to 301.12, 414.80 and 223.36 is: 307.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.12 : 414.80 = 223.36 : x
  2. Step 2: Convert to fraction form
    301.12/414.80 = 223.36/x
  3. Step 3: Cross multiply
    301.12x = 414.80 × 223.36
  4. Step 4: Simplify right side
    301.12x = 92,649.73
  5. Step 5: Solve for x
    x = 92,649.73/301.12
  6. Step 6: Final answer
    x = 307.68

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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.