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Finding the Fourth Proportional to 225.93, 311.69 and 176.96

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Solution

The fourth proportional to 225.93, 311.69 and 176.96 is: 244.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.93 : 311.69 = 176.96 : x
  2. Step 2: Convert to fraction form
    225.93/311.69 = 176.96/x
  3. Step 3: Cross multiply
    225.93x = 311.69 × 176.96
  4. Step 4: Simplify right side
    225.93x = 55,157.88
  5. Step 5: Solve for x
    x = 55,157.88/225.93
  6. Step 6: Final answer
    x = 244.13

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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.