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Finding the Fourth Proportional to 184.45, 276.66 and 56.20

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Solution

The fourth proportional to 184.45, 276.66 and 56.20 is: 84.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.45 : 276.66 = 56.20 : x
  2. Step 2: Convert to fraction form
    184.45/276.66 = 56.20/x
  3. Step 3: Cross multiply
    184.45x = 276.66 × 56.20
  4. Step 4: Simplify right side
    184.45x = 15,546.91
  5. Step 5: Solve for x
    x = 15,546.91/184.45
  6. Step 6: Final answer
    x = 84.29

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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.