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Finding the Fourth Proportional to 330.50, 456.06 and 218.33

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Solution

The fourth proportional to 330.50, 456.06 and 218.33 is: 301.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.50 : 456.06 = 218.33 : x
  2. Step 2: Convert to fraction form
    330.50/456.06 = 218.33/x
  3. Step 3: Cross multiply
    330.50x = 456.06 × 218.33
  4. Step 4: Simplify right side
    330.50x = 99,569.30
  5. Step 5: Solve for x
    x = 99,569.30/330.50
  6. Step 6: Final answer
    x = 301.27

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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.