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Finding the Fourth Proportional to 262.87, 394.01 and 147.37

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Solution

The fourth proportional to 262.87, 394.01 and 147.37 is: 220.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.87 : 394.01 = 147.37 : x
  2. Step 2: Convert to fraction form
    262.87/394.01 = 147.37/x
  3. Step 3: Cross multiply
    262.87x = 394.01 × 147.37
  4. Step 4: Simplify right side
    262.87x = 58,065.25
  5. Step 5: Solve for x
    x = 58,065.25/262.87
  6. Step 6: Final answer
    x = 220.89

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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.