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Finding the Fourth Proportional to 301.56, 415.27 and 218.53

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Solution

The fourth proportional to 301.56, 415.27 and 218.53 is: 300.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.56 : 415.27 = 218.53 : x
  2. Step 2: Convert to fraction form
    301.56/415.27 = 218.53/x
  3. Step 3: Cross multiply
    301.56x = 415.27 × 218.53
  4. Step 4: Simplify right side
    301.56x = 90,748.95
  5. Step 5: Solve for x
    x = 90,748.95/301.56
  6. Step 6: Final answer
    x = 300.93

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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.