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Finding the Fourth Proportional to 230.57, 318.22 and 137.34

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Solution

The fourth proportional to 230.57, 318.22 and 137.34 is: 189.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.57 : 318.22 = 137.34 : x
  2. Step 2: Convert to fraction form
    230.57/318.22 = 137.34/x
  3. Step 3: Cross multiply
    230.57x = 318.22 × 137.34
  4. Step 4: Simplify right side
    230.57x = 43,703.65
  5. Step 5: Solve for x
    x = 43,703.65/230.57
  6. Step 6: Final answer
    x = 189.55

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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.