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Finding the Fourth Proportional to 225.59, 311.48 and 155.61

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Solution

The fourth proportional to 225.59, 311.48 and 155.61 is: 214.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.59 : 311.48 = 155.61 : x
  2. Step 2: Convert to fraction form
    225.59/311.48 = 155.61/x
  3. Step 3: Cross multiply
    225.59x = 311.48 × 155.61
  4. Step 4: Simplify right side
    225.59x = 48,468.62
  5. Step 5: Solve for x
    x = 48,468.62/225.59
  6. Step 6: Final answer
    x = 214.86

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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.