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Finding the Fourth Proportional to 230.99, 318.83 and 132.80

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Solution

The fourth proportional to 230.99, 318.83 and 132.80 is: 183.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.99 : 318.83 = 132.80 : x
  2. Step 2: Convert to fraction form
    230.99/318.83 = 132.80/x
  3. Step 3: Cross multiply
    230.99x = 318.83 × 132.80
  4. Step 4: Simplify right side
    230.99x = 42,338.37
  5. Step 5: Solve for x
    x = 42,338.37/230.99
  6. Step 6: Final answer
    x = 183.29

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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.