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Finding the Fourth Proportional to 218.45, 301.53 and 174.27

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Solution

The fourth proportional to 218.45, 301.53 and 174.27 is: 240.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.45 : 301.53 = 174.27 : x
  2. Step 2: Convert to fraction form
    218.45/301.53 = 174.27/x
  3. Step 3: Cross multiply
    218.45x = 301.53 × 174.27
  4. Step 4: Simplify right side
    218.45x = 52,546.50
  5. Step 5: Solve for x
    x = 52,546.50/218.45
  6. Step 6: Final answer
    x = 240.55

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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.