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Finding the Fourth Proportional to 263.64, 395.43 and 71.25

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Solution

The fourth proportional to 263.64, 395.43 and 71.25 is: 106.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.64 : 395.43 = 71.25 : x
  2. Step 2: Convert to fraction form
    263.64/395.43 = 71.25/x
  3. Step 3: Cross multiply
    263.64x = 395.43 × 71.25
  4. Step 4: Simplify right side
    263.64x = 28,174.39
  5. Step 5: Solve for x
    x = 28,174.39/263.64
  6. Step 6: Final answer
    x = 106.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.