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Finding the Fourth Proportional to 225.65, 311.50 and 151.09

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Solution

The fourth proportional to 225.65, 311.50 and 151.09 is: 208.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.65 : 311.50 = 151.09 : x
  2. Step 2: Convert to fraction form
    225.65/311.50 = 151.09/x
  3. Step 3: Cross multiply
    225.65x = 311.50 × 151.09
  4. Step 4: Simplify right side
    225.65x = 47,063.95
  5. Step 5: Solve for x
    x = 47,063.95/225.65
  6. Step 6: Final answer
    x = 208.57

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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.