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Finding the Fourth Proportional to 257.99, 387.79 and 162.41

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Solution

The fourth proportional to 257.99, 387.79 and 162.41 is: 244.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.99 : 387.79 = 162.41 : x
  2. Step 2: Convert to fraction form
    257.99/387.79 = 162.41/x
  3. Step 3: Cross multiply
    257.99x = 387.79 × 162.41
  4. Step 4: Simplify right side
    257.99x = 62,978.63
  5. Step 5: Solve for x
    x = 62,978.63/257.99
  6. Step 6: Final answer
    x = 244.12

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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.