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Finding the Fourth Proportional to 218.76, 301.84 and 131.48

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Solution

The fourth proportional to 218.76, 301.84 and 131.48 is: 181.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.76 : 301.84 = 131.48 : x
  2. Step 2: Convert to fraction form
    218.76/301.84 = 131.48/x
  3. Step 3: Cross multiply
    218.76x = 301.84 × 131.48
  4. Step 4: Simplify right side
    218.76x = 39,685.92
  5. Step 5: Solve for x
    x = 39,685.92/218.76
  6. Step 6: Final answer
    x = 181.41

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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.