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Finding the Fourth Proportional to 263.87, 395.64 and 90.48

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Solution

The fourth proportional to 263.87, 395.64 and 90.48 is: 135.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.87 : 395.64 = 90.48 : x
  2. Step 2: Convert to fraction form
    263.87/395.64 = 90.48/x
  3. Step 3: Cross multiply
    263.87x = 395.64 × 90.48
  4. Step 4: Simplify right side
    263.87x = 35,797.51
  5. Step 5: Solve for x
    x = 35,797.51/263.87
  6. Step 6: Final answer
    x = 135.66

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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.