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Finding the Fourth Proportional to 230.46, 317.42 and 213.16

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Solution

The fourth proportional to 230.46, 317.42 and 213.16 is: 293.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.46 : 317.42 = 213.16 : x
  2. Step 2: Convert to fraction form
    230.46/317.42 = 213.16/x
  3. Step 3: Cross multiply
    230.46x = 317.42 × 213.16
  4. Step 4: Simplify right side
    230.46x = 67,661.25
  5. Step 5: Solve for x
    x = 67,661.25/230.46
  6. Step 6: Final answer
    x = 293.59

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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.