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Finding the Fourth Proportional to 225.96, 339.00 and 63.64

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Solution

The fourth proportional to 225.96, 339.00 and 63.64 is: 95.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.96 : 339.00 = 63.64 : x
  2. Step 2: Convert to fraction form
    225.96/339.00 = 63.64/x
  3. Step 3: Cross multiply
    225.96x = 339.00 × 63.64
  4. Step 4: Simplify right side
    225.96x = 21,573.64
  5. Step 5: Solve for x
    x = 21,573.64/225.96
  6. Step 6: Final answer
    x = 95.48

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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.