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Finding the Fourth Proportional to 257.95, 386.94 and 113.77

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Solution

The fourth proportional to 257.95, 386.94 and 113.77 is: 170.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.95 : 386.94 = 113.77 : x
  2. Step 2: Convert to fraction form
    257.95/386.94 = 113.77/x
  3. Step 3: Cross multiply
    257.95x = 386.94 × 113.77
  4. Step 4: Simplify right side
    257.95x = 44,020.23
  5. Step 5: Solve for x
    x = 44,020.23/257.95
  6. Step 6: Final answer
    x = 170.66

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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.