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Finding the Fourth Proportional to 262.51, 394.00 and 140.87

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Solution

The fourth proportional to 262.51, 394.00 and 140.87 is: 211.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.51 : 394.00 = 140.87 : x
  2. Step 2: Convert to fraction form
    262.51/394.00 = 140.87/x
  3. Step 3: Cross multiply
    262.51x = 394.00 × 140.87
  4. Step 4: Simplify right side
    262.51x = 55,503.41
  5. Step 5: Solve for x
    x = 55,503.41/262.51
  6. Step 6: Final answer
    x = 211.44

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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.