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Finding the Fourth Proportional to 307.23, 423.82 and 218.71

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Solution

The fourth proportional to 307.23, 423.82 and 218.71 is: 301.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.23 : 423.82 = 218.71 : x
  2. Step 2: Convert to fraction form
    307.23/423.82 = 218.71/x
  3. Step 3: Cross multiply
    307.23x = 423.82 × 218.71
  4. Step 4: Simplify right side
    307.23x = 92,693.67
  5. Step 5: Solve for x
    x = 92,693.67/307.23
  6. Step 6: Final answer
    x = 301.71

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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.