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Finding the Fourth Proportional to 262.40, 392.99 and 201.06

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Solution

The fourth proportional to 262.40, 392.99 and 201.06 is: 301.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.40 : 392.99 = 201.06 : x
  2. Step 2: Convert to fraction form
    262.40/392.99 = 201.06/x
  3. Step 3: Cross multiply
    262.40x = 392.99 × 201.06
  4. Step 4: Simplify right side
    262.40x = 79,013.56
  5. Step 5: Solve for x
    x = 79,013.56/262.40
  6. Step 6: Final answer
    x = 301.12

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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.