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Finding the Fourth Proportional to 307.29, 423.91 and 189.24

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Solution

The fourth proportional to 307.29, 423.91 and 189.24 is: 261.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.29 : 423.91 = 189.24 : x
  2. Step 2: Convert to fraction form
    307.29/423.91 = 189.24/x
  3. Step 3: Cross multiply
    307.29x = 423.91 × 189.24
  4. Step 4: Simplify right side
    307.29x = 80,220.73
  5. Step 5: Solve for x
    x = 80,220.73/307.29
  6. Step 6: Final answer
    x = 261.06

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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.