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Finding the Fourth Proportional to 227.24, 313.64 and 148.65

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Solution

The fourth proportional to 227.24, 313.64 and 148.65 is: 205.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.24 : 313.64 = 148.65 : x
  2. Step 2: Convert to fraction form
    227.24/313.64 = 148.65/x
  3. Step 3: Cross multiply
    227.24x = 313.64 × 148.65
  4. Step 4: Simplify right side
    227.24x = 46,621.22
  5. Step 5: Solve for x
    x = 46,621.22/227.24
  6. Step 6: Final answer
    x = 205.16

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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.