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Finding the Fourth Proportional to 257.84, 385.80 and 231.20

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Solution

The fourth proportional to 257.84, 385.80 and 231.20 is: 345.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.84 : 385.80 = 231.20 : x
  2. Step 2: Convert to fraction form
    257.84/385.80 = 231.20/x
  3. Step 3: Cross multiply
    257.84x = 385.80 × 231.20
  4. Step 4: Simplify right side
    257.84x = 89,196.96
  5. Step 5: Solve for x
    x = 89,196.96/257.84
  6. Step 6: Final answer
    x = 345.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.