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Finding the Fourth Proportional to 300.88, 415.88 and 218.57

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Solution

The fourth proportional to 300.88, 415.88 and 218.57 is: 302.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.88 : 415.88 = 218.57 : x
  2. Step 2: Convert to fraction form
    300.88/415.88 = 218.57/x
  3. Step 3: Cross multiply
    300.88x = 415.88 × 218.57
  4. Step 4: Simplify right side
    300.88x = 90,897.36
  5. Step 5: Solve for x
    x = 90,897.36/300.88
  6. Step 6: Final answer
    x = 302.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.