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Finding the Fourth Proportional to 230.93, 317.36 and 220.23

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Solution

The fourth proportional to 230.93, 317.36 and 220.23 is: 302.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.93 : 317.36 = 220.23 : x
  2. Step 2: Convert to fraction form
    230.93/317.36 = 220.23/x
  3. Step 3: Cross multiply
    230.93x = 317.36 × 220.23
  4. Step 4: Simplify right side
    230.93x = 69,891.23
  5. Step 5: Solve for x
    x = 69,891.23/230.93
  6. Step 6: Final answer
    x = 302.65

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.