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Finding the Fourth Proportional to 263.99, 395.96 and 146.75

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Solution

The fourth proportional to 263.99, 395.96 and 146.75 is: 220.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.99 : 395.96 = 146.75 : x
  2. Step 2: Convert to fraction form
    263.99/395.96 = 146.75/x
  3. Step 3: Cross multiply
    263.99x = 395.96 × 146.75
  4. Step 4: Simplify right side
    263.99x = 58,104.42
  5. Step 5: Solve for x
    x = 58,104.42/263.99
  6. Step 6: Final answer
    x = 220.10

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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.