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Finding the Fourth Proportional to 225.78, 311.40 and 179.10

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Solution

The fourth proportional to 225.78, 311.40 and 179.10 is: 247.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.78 : 311.40 = 179.10 : x
  2. Step 2: Convert to fraction form
    225.78/311.40 = 179.10/x
  3. Step 3: Cross multiply
    225.78x = 311.40 × 179.10
  4. Step 4: Simplify right side
    225.78x = 55,771.74
  5. Step 5: Solve for x
    x = 55,771.74/225.78
  6. Step 6: Final answer
    x = 247.02

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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.