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Finding the Fourth Proportional to 204.98, 307.75 and 122.87

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Solution

The fourth proportional to 204.98, 307.75 and 122.87 is: 184.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.98 : 307.75 = 122.87 : x
  2. Step 2: Convert to fraction form
    204.98/307.75 = 122.87/x
  3. Step 3: Cross multiply
    204.98x = 307.75 × 122.87
  4. Step 4: Simplify right side
    204.98x = 37,813.24
  5. Step 5: Solve for x
    x = 37,813.24/204.98
  6. Step 6: Final answer
    x = 184.47

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