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Finding the Fourth Proportional to 184.77, 276.93 and 130.68

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Solution

The fourth proportional to 184.77, 276.93 and 130.68 is: 195.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.77 : 276.93 = 130.68 : x
  2. Step 2: Convert to fraction form
    184.77/276.93 = 130.68/x
  3. Step 3: Cross multiply
    184.77x = 276.93 × 130.68
  4. Step 4: Simplify right side
    184.77x = 36,189.21
  5. Step 5: Solve for x
    x = 36,189.21/184.77
  6. Step 6: Final answer
    x = 195.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.