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Finding the Fourth Proportional to 371.16, 512.08 and 231.16

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Solution

The fourth proportional to 371.16, 512.08 and 231.16 is: 318.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.16 : 512.08 = 231.16 : x
  2. Step 2: Convert to fraction form
    371.16/512.08 = 231.16/x
  3. Step 3: Cross multiply
    371.16x = 512.08 × 231.16
  4. Step 4: Simplify right side
    371.16x = 118,372.41
  5. Step 5: Solve for x
    x = 118,372.41/371.16
  6. Step 6: Final answer
    x = 318.93

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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.