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Finding the Fourth Proportional to 225.84, 311.20 and 155.92

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Solution

The fourth proportional to 225.84, 311.20 and 155.92 is: 214.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.84 : 311.20 = 155.92 : x
  2. Step 2: Convert to fraction form
    225.84/311.20 = 155.92/x
  3. Step 3: Cross multiply
    225.84x = 311.20 × 155.92
  4. Step 4: Simplify right side
    225.84x = 48,522.30
  5. Step 5: Solve for x
    x = 48,522.30/225.84
  6. Step 6: Final answer
    x = 214.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.