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Finding the Fourth Proportional to 204.73, 305.68 and 184.26

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Solution

The fourth proportional to 204.73, 305.68 and 184.26 is: 275.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.73 : 305.68 = 184.26 : x
  2. Step 2: Convert to fraction form
    204.73/305.68 = 184.26/x
  3. Step 3: Cross multiply
    204.73x = 305.68 × 184.26
  4. Step 4: Simplify right side
    204.73x = 56,322.15
  5. Step 5: Solve for x
    x = 56,322.15/204.73
  6. Step 6: Final answer
    x = 275.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.