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Finding the Fourth Proportional to 257.69, 355.72 and 179.27

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Solution

The fourth proportional to 257.69, 355.72 and 179.27 is: 247.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.69 : 355.72 = 179.27 : x
  2. Step 2: Convert to fraction form
    257.69/355.72 = 179.27/x
  3. Step 3: Cross multiply
    257.69x = 355.72 × 179.27
  4. Step 4: Simplify right side
    257.69x = 63,768.15
  5. Step 5: Solve for x
    x = 63,768.15/257.69
  6. Step 6: Final answer
    x = 247.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.