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Finding the Fourth Proportional to 263.85, 364.03 and 158.95

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Solution

The fourth proportional to 263.85, 364.03 and 158.95 is: 219.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.85 : 364.03 = 158.95 : x
  2. Step 2: Convert to fraction form
    263.85/364.03 = 158.95/x
  3. Step 3: Cross multiply
    263.85x = 364.03 × 158.95
  4. Step 4: Simplify right side
    263.85x = 57,862.57
  5. Step 5: Solve for x
    x = 57,862.57/263.85
  6. Step 6: Final answer
    x = 219.30

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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.