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Finding the Fourth Proportional to 184.17, 276.27 and 47.22

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Solution

The fourth proportional to 184.17, 276.27 and 47.22 is: 70.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.17 : 276.27 = 47.22 : x
  2. Step 2: Convert to fraction form
    184.17/276.27 = 47.22/x
  3. Step 3: Cross multiply
    184.17x = 276.27 × 47.22
  4. Step 4: Simplify right side
    184.17x = 13,045.23
  5. Step 5: Solve for x
    x = 13,045.23/184.17
  6. Step 6: Final answer
    x = 70.83

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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.