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Finding the Fourth Proportional to 204.92, 305.76 and 184.42

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Solution

The fourth proportional to 204.92, 305.76 and 184.42 is: 275.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.92 : 305.76 = 184.42 : x
  2. Step 2: Convert to fraction form
    204.92/305.76 = 184.42/x
  3. Step 3: Cross multiply
    204.92x = 305.76 × 184.42
  4. Step 4: Simplify right side
    204.92x = 56,388.26
  5. Step 5: Solve for x
    x = 56,388.26/204.92
  6. Step 6: Final answer
    x = 275.17

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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.