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Finding the Fourth Proportional to 307.68, 461.28 and 221.02

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Solution

The fourth proportional to 307.68, 461.28 and 221.02 is: 331.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.68 : 461.28 = 221.02 : x
  2. Step 2: Convert to fraction form
    307.68/461.28 = 221.02/x
  3. Step 3: Cross multiply
    307.68x = 461.28 × 221.02
  4. Step 4: Simplify right side
    307.68x = 101,952.11
  5. Step 5: Solve for x
    x = 101,952.11/307.68
  6. Step 6: Final answer
    x = 331.36

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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.