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Finding the Fourth Proportional to 257.34, 385.43 and 165.75

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Solution

The fourth proportional to 257.34, 385.43 and 165.75 is: 248.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.34 : 385.43 = 165.75 : x
  2. Step 2: Convert to fraction form
    257.34/385.43 = 165.75/x
  3. Step 3: Cross multiply
    257.34x = 385.43 × 165.75
  4. Step 4: Simplify right side
    257.34x = 63,884.19
  5. Step 5: Solve for x
    x = 63,884.19/257.34
  6. Step 6: Final answer
    x = 248.25

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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.