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Finding the Fourth Proportional to 263.87, 364.13 and 214.66

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Solution

The fourth proportional to 263.87, 364.13 and 214.66 is: 296.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.87 : 364.13 = 214.66 : x
  2. Step 2: Convert to fraction form
    263.87/364.13 = 214.66/x
  3. Step 3: Cross multiply
    263.87x = 364.13 × 214.66
  4. Step 4: Simplify right side
    263.87x = 78,164.33
  5. Step 5: Solve for x
    x = 78,164.33/263.87
  6. Step 6: Final answer
    x = 296.22

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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.