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Finding the Fourth Proportional to 225.27, 311 and 151.65

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Solution

The fourth proportional to 225.27, 311 and 151.65 is: 209.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.27 : 311 = 151.65 : x
  2. Step 2: Convert to fraction form
    225.27/311 = 151.65/x
  3. Step 3: Cross multiply
    225.27x = 311 × 151.65
  4. Step 4: Simplify right side
    225.27x = 47,163.15
  5. Step 5: Solve for x
    x = 47,163.15/225.27
  6. Step 6: Final answer
    x = 209.36

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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.