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Finding the Fourth Proportional to 204.35, 305.96 and 184.77

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Solution

The fourth proportional to 204.35, 305.96 and 184.77 is: 276.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.35 : 305.96 = 184.77 : x
  2. Step 2: Convert to fraction form
    204.35/305.96 = 184.77/x
  3. Step 3: Cross multiply
    204.35x = 305.96 × 184.77
  4. Step 4: Simplify right side
    204.35x = 56,531.31
  5. Step 5: Solve for x
    x = 56,531.31/204.35
  6. Step 6: Final answer
    x = 276.65

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Why These Related Problems?

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