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Finding the Fourth Proportional to 218.50, 300.71 and 185.69

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Solution

The fourth proportional to 218.50, 300.71 and 185.69 is: 255.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.50 : 300.71 = 185.69 : x
  2. Step 2: Convert to fraction form
    218.50/300.71 = 185.69/x
  3. Step 3: Cross multiply
    218.50x = 300.71 × 185.69
  4. Step 4: Simplify right side
    218.50x = 55,840.06
  5. Step 5: Solve for x
    x = 55,840.06/218.50
  6. Step 6: Final answer
    x = 255.56

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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.