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Finding the Fourth Proportional to 204.08, 305.88 and 180.08

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Solution

The fourth proportional to 204.08, 305.88 and 180.08 is: 269.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.08 : 305.88 = 180.08 : x
  2. Step 2: Convert to fraction form
    204.08/305.88 = 180.08/x
  3. Step 3: Cross multiply
    204.08x = 305.88 × 180.08
  4. Step 4: Simplify right side
    204.08x = 55,082.87
  5. Step 5: Solve for x
    x = 55,082.87/204.08
  6. Step 6: Final answer
    x = 269.91

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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.