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Finding the Fourth Proportional to 229.30, 316.43 and 131.09

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Solution

The fourth proportional to 229.30, 316.43 and 131.09 is: 180.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.30 : 316.43 = 131.09 : x
  2. Step 2: Convert to fraction form
    229.30/316.43 = 131.09/x
  3. Step 3: Cross multiply
    229.30x = 316.43 × 131.09
  4. Step 4: Simplify right side
    229.30x = 41,480.81
  5. Step 5: Solve for x
    x = 41,480.81/229.30
  6. Step 6: Final answer
    x = 180.90

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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.