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Finding the Fourth Proportional to 257.85, 388.17 and 235.17

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Solution

The fourth proportional to 257.85, 388.17 and 235.17 is: 354.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.85 : 388.17 = 235.17 : x
  2. Step 2: Convert to fraction form
    257.85/388.17 = 235.17/x
  3. Step 3: Cross multiply
    257.85x = 388.17 × 235.17
  4. Step 4: Simplify right side
    257.85x = 91,285.94
  5. Step 5: Solve for x
    x = 91,285.94/257.85
  6. Step 6: Final answer
    x = 354.03

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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.