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Finding the Fourth Proportional to 204.72, 307.68 and 180.42

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Solution

The fourth proportional to 204.72, 307.68 and 180.42 is: 271.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.72 : 307.68 = 180.42 : x
  2. Step 2: Convert to fraction form
    204.72/307.68 = 180.42/x
  3. Step 3: Cross multiply
    204.72x = 307.68 × 180.42
  4. Step 4: Simplify right side
    204.72x = 55,511.63
  5. Step 5: Solve for x
    x = 55,511.63/204.72
  6. Step 6: Final answer
    x = 271.16

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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.