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Finding the Fourth Proportional to 307.05, 423.66 and 182.69

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Solution

The fourth proportional to 307.05, 423.66 and 182.69 is: 252.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.05 : 423.66 = 182.69 : x
  2. Step 2: Convert to fraction form
    307.05/423.66 = 182.69/x
  3. Step 3: Cross multiply
    307.05x = 423.66 × 182.69
  4. Step 4: Simplify right side
    307.05x = 77,398.45
  5. Step 5: Solve for x
    x = 77,398.45/307.05
  6. Step 6: Final answer
    x = 252.07

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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.