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Finding the Fourth Proportional to 229.89, 317.25 and 181.11

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Solution

The fourth proportional to 229.89, 317.25 and 181.11 is: 249.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.89 : 317.25 = 181.11 : x
  2. Step 2: Convert to fraction form
    229.89/317.25 = 181.11/x
  3. Step 3: Cross multiply
    229.89x = 317.25 × 181.11
  4. Step 4: Simplify right side
    229.89x = 57,457.15
  5. Step 5: Solve for x
    x = 57,457.15/229.89
  6. Step 6: Final answer
    x = 249.93

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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.