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Finding the Fourth Proportional to 184.21, 254.34 and 131.76

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Solution

The fourth proportional to 184.21, 254.34 and 131.76 is: 181.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.21 : 254.34 = 131.76 : x
  2. Step 2: Convert to fraction form
    184.21/254.34 = 131.76/x
  3. Step 3: Cross multiply
    184.21x = 254.34 × 131.76
  4. Step 4: Simplify right side
    184.21x = 33,511.84
  5. Step 5: Solve for x
    x = 33,511.84/184.21
  6. Step 6: Final answer
    x = 181.92

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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.