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Finding the Fourth Proportional to 201.74, 300.18 and 201.06

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Solution

The fourth proportional to 201.74, 300.18 and 201.06 is: 299.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.74 : 300.18 = 201.06 : x
  2. Step 2: Convert to fraction form
    201.74/300.18 = 201.06/x
  3. Step 3: Cross multiply
    201.74x = 300.18 × 201.06
  4. Step 4: Simplify right side
    201.74x = 60,354.19
  5. Step 5: Solve for x
    x = 60,354.19/201.74
  6. Step 6: Final answer
    x = 299.17

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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.