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Finding the Fourth Proportional to 256.55, 351.57 and 231.94

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Solution

The fourth proportional to 256.55, 351.57 and 231.94 is: 317.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.55 : 351.57 = 231.94 : x
  2. Step 2: Convert to fraction form
    256.55/351.57 = 231.94/x
  3. Step 3: Cross multiply
    256.55x = 351.57 × 231.94
  4. Step 4: Simplify right side
    256.55x = 81,543.15
  5. Step 5: Solve for x
    x = 81,543.15/256.55
  6. Step 6: Final answer
    x = 317.85

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.