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Finding the Fourth Proportional to 204.24, 282.24 and 201

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Solution

The fourth proportional to 204.24, 282.24 and 201 is: 277.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.24 : 282.24 = 201 : x
  2. Step 2: Convert to fraction form
    204.24/282.24 = 201/x
  3. Step 3: Cross multiply
    204.24x = 282.24 × 201
  4. Step 4: Simplify right side
    204.24x = 56,730.24
  5. Step 5: Solve for x
    x = 56,730.24/204.24
  6. Step 6: Final answer
    x = 277.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.