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Finding the Fourth Proportional to 257.70, 355.41 and 192.36

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Solution

The fourth proportional to 257.70, 355.41 and 192.36 is: 265.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.70 : 355.41 = 192.36 : x
  2. Step 2: Convert to fraction form
    257.70/355.41 = 192.36/x
  3. Step 3: Cross multiply
    257.70x = 355.41 × 192.36
  4. Step 4: Simplify right side
    257.70x = 68,366.67
  5. Step 5: Solve for x
    x = 68,366.67/257.70
  6. Step 6: Final answer
    x = 265.30

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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.