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Finding the Fourth Proportional to 307.66, 460.54 and 220.18

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Solution

The fourth proportional to 307.66, 460.54 and 220.18 is: 329.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.66 : 460.54 = 220.18 : x
  2. Step 2: Convert to fraction form
    307.66/460.54 = 220.18/x
  3. Step 3: Cross multiply
    307.66x = 460.54 × 220.18
  4. Step 4: Simplify right side
    307.66x = 101,401.70
  5. Step 5: Solve for x
    x = 101,401.70/307.66
  6. Step 6: Final answer
    x = 329.59

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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.