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Finding the Fourth Proportional to 230.24, 317.92 and 164.88

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Solution

The fourth proportional to 230.24, 317.92 and 164.88 is: 227.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.24 : 317.92 = 164.88 : x
  2. Step 2: Convert to fraction form
    230.24/317.92 = 164.88/x
  3. Step 3: Cross multiply
    230.24x = 317.92 × 164.88
  4. Step 4: Simplify right side
    230.24x = 52,418.65
  5. Step 5: Solve for x
    x = 52,418.65/230.24
  6. Step 6: Final answer
    x = 227.67

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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.