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Finding the Fourth Proportional to 257.48, 386.02 and 120.34

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Solution

The fourth proportional to 257.48, 386.02 and 120.34 is: 180.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.48 : 386.02 = 120.34 : x
  2. Step 2: Convert to fraction form
    257.48/386.02 = 120.34/x
  3. Step 3: Cross multiply
    257.48x = 386.02 × 120.34
  4. Step 4: Simplify right side
    257.48x = 46,453.65
  5. Step 5: Solve for x
    x = 46,453.65/257.48
  6. Step 6: Final answer
    x = 180.42

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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.