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Finding the Fourth Proportional to 257.51, 385.49 and 166.03

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Solution

The fourth proportional to 257.51, 385.49 and 166.03 is: 248.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.51 : 385.49 = 166.03 : x
  2. Step 2: Convert to fraction form
    257.51/385.49 = 166.03/x
  3. Step 3: Cross multiply
    257.51x = 385.49 × 166.03
  4. Step 4: Simplify right side
    257.51x = 64,002.36
  5. Step 5: Solve for x
    x = 64,002.36/257.51
  6. Step 6: Final answer
    x = 248.54

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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.