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Finding the Fourth Proportional to 307.68, 461.49 and 221.42

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Solution

The fourth proportional to 307.68, 461.49 and 221.42 is: 332.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.68 : 461.49 = 221.42 : x
  2. Step 2: Convert to fraction form
    307.68/461.49 = 221.42/x
  3. Step 3: Cross multiply
    307.68x = 461.49 × 221.42
  4. Step 4: Simplify right side
    307.68x = 102,180.81
  5. Step 5: Solve for x
    x = 102,180.81/307.68
  6. Step 6: Final answer
    x = 332.10

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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.