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Finding the Fourth Proportional to 371.21, 512.19 and 231.35

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Solution

The fourth proportional to 371.21, 512.19 and 231.35 is: 319.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.21 : 512.19 = 231.35 : x
  2. Step 2: Convert to fraction form
    371.21/512.19 = 231.35/x
  3. Step 3: Cross multiply
    371.21x = 512.19 × 231.35
  4. Step 4: Simplify right side
    371.21x = 118,492.60
  5. Step 5: Solve for x
    x = 118,492.60/371.21
  6. Step 6: Final answer
    x = 319.21

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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.