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Finding the Fourth Proportional to 207.69, 309.56 and 201

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Solution

The fourth proportional to 207.69, 309.56 and 201 is: 299.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.69 : 309.56 = 201 : x
  2. Step 2: Convert to fraction form
    207.69/309.56 = 201/x
  3. Step 3: Cross multiply
    207.69x = 309.56 × 201
  4. Step 4: Simplify right side
    207.69x = 62,221.56
  5. Step 5: Solve for x
    x = 62,221.56/207.69
  6. Step 6: Final answer
    x = 299.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.