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Finding the Fourth Proportional to 218.54, 301.50 and 135.65

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Solution

The fourth proportional to 218.54, 301.50 and 135.65 is: 187.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.54 : 301.50 = 135.65 : x
  2. Step 2: Convert to fraction form
    218.54/301.50 = 135.65/x
  3. Step 3: Cross multiply
    218.54x = 301.50 × 135.65
  4. Step 4: Simplify right side
    218.54x = 40,896.97
  5. Step 5: Solve for x
    x = 40,896.97/218.54
  6. Step 6: Final answer
    x = 187.14

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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.