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Finding the Fourth Proportional to 257.80, 386.84 and 113.50

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Solution

The fourth proportional to 257.80, 386.84 and 113.50 is: 170.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.80 : 386.84 = 113.50 : x
  2. Step 2: Convert to fraction form
    257.80/386.84 = 113.50/x
  3. Step 3: Cross multiply
    257.80x = 386.84 × 113.50
  4. Step 4: Simplify right side
    257.80x = 43,906.34
  5. Step 5: Solve for x
    x = 43,906.34/257.80
  6. Step 6: Final answer
    x = 170.31

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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.