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Finding the Fourth Proportional to 229.99, 317.37 and 180.99

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Solution

The fourth proportional to 229.99, 317.37 and 180.99 is: 249.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.99 : 317.37 = 180.99 : x
  2. Step 2: Convert to fraction form
    229.99/317.37 = 180.99/x
  3. Step 3: Cross multiply
    229.99x = 317.37 × 180.99
  4. Step 4: Simplify right side
    229.99x = 57,439.21
  5. Step 5: Solve for x
    x = 57,439.21/229.99
  6. Step 6: Final answer
    x = 249.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.