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Finding the Fourth Proportional to 184.34, 276.85 and 177

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Solution

The fourth proportional to 184.34, 276.85 and 177 is: 265.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.34 : 276.85 = 177 : x
  2. Step 2: Convert to fraction form
    184.34/276.85 = 177/x
  3. Step 3: Cross multiply
    184.34x = 276.85 × 177
  4. Step 4: Simplify right side
    184.34x = 49,002.45
  5. Step 5: Solve for x
    x = 49,002.45/184.34
  6. Step 6: Final answer
    x = 265.83

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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.