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Finding the Fourth Proportional to 256.80, 386.99 and 231.15

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Solution

The fourth proportional to 256.80, 386.99 and 231.15 is: 348.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.80 : 386.99 = 231.15 : x
  2. Step 2: Convert to fraction form
    256.80/386.99 = 231.15/x
  3. Step 3: Cross multiply
    256.80x = 386.99 × 231.15
  4. Step 4: Simplify right side
    256.80x = 89,452.74
  5. Step 5: Solve for x
    x = 89,452.74/256.80
  6. Step 6: Final answer
    x = 348.34

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.