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Finding the Fourth Proportional to 263.56, 395.30 and 90.24

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Solution

The fourth proportional to 263.56, 395.30 and 90.24 is: 135.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.56 : 395.30 = 90.24 : x
  2. Step 2: Convert to fraction form
    263.56/395.30 = 90.24/x
  3. Step 3: Cross multiply
    263.56x = 395.30 × 90.24
  4. Step 4: Simplify right side
    263.56x = 35,671.87
  5. Step 5: Solve for x
    x = 35,671.87/263.56
  6. Step 6: Final answer
    x = 135.35

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