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Finding the Fourth Proportional to 257.44, 386.16 and 129.28

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Solution

The fourth proportional to 257.44, 386.16 and 129.28 is: 193.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.44 : 386.16 = 129.28 : x
  2. Step 2: Convert to fraction form
    257.44/386.16 = 129.28/x
  3. Step 3: Cross multiply
    257.44x = 386.16 × 129.28
  4. Step 4: Simplify right side
    257.44x = 49,922.76
  5. Step 5: Solve for x
    x = 49,922.76/257.44
  6. Step 6: Final answer
    x = 193.92

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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.