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Finding the Fourth Proportional to 218.77, 301.93 and 131.46

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Solution

The fourth proportional to 218.77, 301.93 and 131.46 is: 181.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.77 : 301.93 = 131.46 : x
  2. Step 2: Convert to fraction form
    218.77/301.93 = 131.46/x
  3. Step 3: Cross multiply
    218.77x = 301.93 × 131.46
  4. Step 4: Simplify right side
    218.77x = 39,690.26
  5. Step 5: Solve for x
    x = 39,690.26/218.77
  6. Step 6: Final answer
    x = 181.43

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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.