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Finding the Fourth Proportional to 225.86, 311.28 and 159.48

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Solution

The fourth proportional to 225.86, 311.28 and 159.48 is: 219.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.86 : 311.28 = 159.48 : x
  2. Step 2: Convert to fraction form
    225.86/311.28 = 159.48/x
  3. Step 3: Cross multiply
    225.86x = 311.28 × 159.48
  4. Step 4: Simplify right side
    225.86x = 49,642.93
  5. Step 5: Solve for x
    x = 49,642.93/225.86
  6. Step 6: Final answer
    x = 219.80

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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.