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Finding the Fourth Proportional to 375.74, 518.58 and 218.35

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Solution

The fourth proportional to 375.74, 518.58 and 218.35 is: 301.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.74 : 518.58 = 218.35 : x
  2. Step 2: Convert to fraction form
    375.74/518.58 = 218.35/x
  3. Step 3: Cross multiply
    375.74x = 518.58 × 218.35
  4. Step 4: Simplify right side
    375.74x = 113,231.94
  5. Step 5: Solve for x
    x = 113,231.94/375.74
  6. Step 6: Final answer
    x = 301.36

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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.