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Finding the Fourth Proportional to 307.90, 461.45 and 222.30

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Solution

The fourth proportional to 307.90, 461.45 and 222.30 is: 333.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.90 : 461.45 = 222.30 : x
  2. Step 2: Convert to fraction form
    307.90/461.45 = 222.30/x
  3. Step 3: Cross multiply
    307.90x = 461.45 × 222.30
  4. Step 4: Simplify right side
    307.90x = 102,580.34
  5. Step 5: Solve for x
    x = 102,580.34/307.90
  6. Step 6: Final answer
    x = 333.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.