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Finding the Fourth Proportional to 263.71, 395.21 and 142.06

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Solution

The fourth proportional to 263.71, 395.21 and 142.06 is: 212.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.71 : 395.21 = 142.06 : x
  2. Step 2: Convert to fraction form
    263.71/395.21 = 142.06/x
  3. Step 3: Cross multiply
    263.71x = 395.21 × 142.06
  4. Step 4: Simplify right side
    263.71x = 56,140.85
  5. Step 5: Solve for x
    x = 56,140.85/263.71
  6. Step 6: Final answer
    x = 212.89

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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.