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Finding the Fourth Proportional to 301.02, 414.90 and 223.26

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Solution

The fourth proportional to 301.02, 414.90 and 223.26 is: 307.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.02 : 414.90 = 223.26 : x
  2. Step 2: Convert to fraction form
    301.02/414.90 = 223.26/x
  3. Step 3: Cross multiply
    301.02x = 414.90 × 223.26
  4. Step 4: Simplify right side
    301.02x = 92,630.57
  5. Step 5: Solve for x
    x = 92,630.57/301.02
  6. Step 6: Final answer
    x = 307.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.