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Finding the Fourth Proportional to 225.65, 311.37 and 127.40

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Solution

The fourth proportional to 225.65, 311.37 and 127.40 is: 175.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.65 : 311.37 = 127.40 : x
  2. Step 2: Convert to fraction form
    225.65/311.37 = 127.40/x
  3. Step 3: Cross multiply
    225.65x = 311.37 × 127.40
  4. Step 4: Simplify right side
    225.65x = 39,668.54
  5. Step 5: Solve for x
    x = 39,668.54/225.65
  6. Step 6: Final answer
    x = 175.80

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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.