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Finding the Fourth Proportional to 225.34, 311.12 and 155.38

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Solution

The fourth proportional to 225.34, 311.12 and 155.38 is: 214.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.34 : 311.12 = 155.38 : x
  2. Step 2: Convert to fraction form
    225.34/311.12 = 155.38/x
  3. Step 3: Cross multiply
    225.34x = 311.12 × 155.38
  4. Step 4: Simplify right side
    225.34x = 48,340.27
  5. Step 5: Solve for x
    x = 48,340.27/225.34
  6. Step 6: Final answer
    x = 214.52

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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.