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Finding the Fourth Proportional to 307.62, 424.37 and 183.21

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Solution

The fourth proportional to 307.62, 424.37 and 183.21 is: 252.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.62 : 424.37 = 183.21 : x
  2. Step 2: Convert to fraction form
    307.62/424.37 = 183.21/x
  3. Step 3: Cross multiply
    307.62x = 424.37 × 183.21
  4. Step 4: Simplify right side
    307.62x = 77,749.29
  5. Step 5: Solve for x
    x = 77,749.29/307.62
  6. Step 6: Final answer
    x = 252.74

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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.