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Finding the Fourth Proportional to 225.87, 311.76 and 155.94

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Solution

The fourth proportional to 225.87, 311.76 and 155.94 is: 215.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.87 : 311.76 = 155.94 : x
  2. Step 2: Convert to fraction form
    225.87/311.76 = 155.94/x
  3. Step 3: Cross multiply
    225.87x = 311.76 × 155.94
  4. Step 4: Simplify right side
    225.87x = 48,615.85
  5. Step 5: Solve for x
    x = 48,615.85/225.87
  6. Step 6: Final answer
    x = 215.24

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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.