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Finding the Fourth Proportional to 307.44, 423.92 and 220.16

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Solution

The fourth proportional to 307.44, 423.92 and 220.16 is: 303.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.44 : 423.92 = 220.16 : x
  2. Step 2: Convert to fraction form
    307.44/423.92 = 220.16/x
  3. Step 3: Cross multiply
    307.44x = 423.92 × 220.16
  4. Step 4: Simplify right side
    307.44x = 93,330.23
  5. Step 5: Solve for x
    x = 93,330.23/307.44
  6. Step 6: Final answer
    x = 303.57

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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.