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Finding the Fourth Proportional to 367.74, 507.47 and 218.37

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Solution

The fourth proportional to 367.74, 507.47 and 218.37 is: 301.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.74 : 507.47 = 218.37 : x
  2. Step 2: Convert to fraction form
    367.74/507.47 = 218.37/x
  3. Step 3: Cross multiply
    367.74x = 507.47 × 218.37
  4. Step 4: Simplify right side
    367.74x = 110,815.13
  5. Step 5: Solve for x
    x = 110,815.13/367.74
  6. Step 6: Final answer
    x = 301.34

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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.