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Finding the Fourth Proportional to 230.80, 318.30 and 181.60

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Solution

The fourth proportional to 230.80, 318.30 and 181.60 is: 250.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.80 : 318.30 = 181.60 : x
  2. Step 2: Convert to fraction form
    230.80/318.30 = 181.60/x
  3. Step 3: Cross multiply
    230.80x = 318.30 × 181.60
  4. Step 4: Simplify right side
    230.80x = 57,803.28
  5. Step 5: Solve for x
    x = 57,803.28/230.80
  6. Step 6: Final answer
    x = 250.45

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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.