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Finding the Fourth Proportional to 307.11, 423.77 and 182.74

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Solution

The fourth proportional to 307.11, 423.77 and 182.74 is: 252.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.11 : 423.77 = 182.74 : x
  2. Step 2: Convert to fraction form
    307.11/423.77 = 182.74/x
  3. Step 3: Cross multiply
    307.11x = 423.77 × 182.74
  4. Step 4: Simplify right side
    307.11x = 77,440.97
  5. Step 5: Solve for x
    x = 77,440.97/307.11
  6. Step 6: Final answer
    x = 252.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.