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Finding the Fourth Proportional to 225.93, 311.76 and 130.11

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Solution

The fourth proportional to 225.93, 311.76 and 130.11 is: 179.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.93 : 311.76 = 130.11 : x
  2. Step 2: Convert to fraction form
    225.93/311.76 = 130.11/x
  3. Step 3: Cross multiply
    225.93x = 311.76 × 130.11
  4. Step 4: Simplify right side
    225.93x = 40,563.09
  5. Step 5: Solve for x
    x = 40,563.09/225.93
  6. Step 6: Final answer
    x = 179.54

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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.