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Finding the Fourth Proportional to 257.20, 385.99 and 103.17

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Solution

The fourth proportional to 257.20, 385.99 and 103.17 is: 154.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.20 : 385.99 = 103.17 : x
  2. Step 2: Convert to fraction form
    257.20/385.99 = 103.17/x
  3. Step 3: Cross multiply
    257.20x = 385.99 × 103.17
  4. Step 4: Simplify right side
    257.20x = 39,823.55
  5. Step 5: Solve for x
    x = 39,823.55/257.20
  6. Step 6: Final answer
    x = 154.83

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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.