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Finding the Fourth Proportional to 257.04, 385.28 and 179.96

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Solution

The fourth proportional to 257.04, 385.28 and 179.96 is: 269.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.04 : 385.28 = 179.96 : x
  2. Step 2: Convert to fraction form
    257.04/385.28 = 179.96/x
  3. Step 3: Cross multiply
    257.04x = 385.28 × 179.96
  4. Step 4: Simplify right side
    257.04x = 69,334.99
  5. Step 5: Solve for x
    x = 69,334.99/257.04
  6. Step 6: Final answer
    x = 269.74

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Why These Related Problems?

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