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Finding the Fourth Proportional to 218.15, 301.15 and 135.29

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Solution

The fourth proportional to 218.15, 301.15 and 135.29 is: 186.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.15 : 301.15 = 135.29 : x
  2. Step 2: Convert to fraction form
    218.15/301.15 = 135.29/x
  3. Step 3: Cross multiply
    218.15x = 301.15 × 135.29
  4. Step 4: Simplify right side
    218.15x = 40,742.58
  5. Step 5: Solve for x
    x = 40,742.58/218.15
  6. Step 6: Final answer
    x = 186.76

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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.