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Finding the Fourth Proportional to 263.86, 364.12 and 158.96

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Solution

The fourth proportional to 263.86, 364.12 and 158.96 is: 219.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.86 : 364.12 = 158.96 : x
  2. Step 2: Convert to fraction form
    263.86/364.12 = 158.96/x
  3. Step 3: Cross multiply
    263.86x = 364.12 × 158.96
  4. Step 4: Simplify right side
    263.86x = 57,880.52
  5. Step 5: Solve for x
    x = 57,880.52/263.86
  6. Step 6: Final answer
    x = 219.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.