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Finding the Fourth Proportional to 257.96, 386.63 and 111.66

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Solution

The fourth proportional to 257.96, 386.63 and 111.66 is: 167.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.96 : 386.63 = 111.66 : x
  2. Step 2: Convert to fraction form
    257.96/386.63 = 111.66/x
  3. Step 3: Cross multiply
    257.96x = 386.63 × 111.66
  4. Step 4: Simplify right side
    257.96x = 43,171.11
  5. Step 5: Solve for x
    x = 43,171.11/257.96
  6. Step 6: Final answer
    x = 167.36

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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.