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Finding the Fourth Proportional to 257.41, 386.28 and 113.13

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Solution

The fourth proportional to 257.41, 386.28 and 113.13 is: 169.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.41 : 386.28 = 113.13 : x
  2. Step 2: Convert to fraction form
    257.41/386.28 = 113.13/x
  3. Step 3: Cross multiply
    257.41x = 386.28 × 113.13
  4. Step 4: Simplify right side
    257.41x = 43,699.86
  5. Step 5: Solve for x
    x = 43,699.86/257.41
  6. Step 6: Final answer
    x = 169.77

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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.