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Finding the Fourth Proportional to 257.52, 385.74 and 193.26

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Solution

The fourth proportional to 257.52, 385.74 and 193.26 is: 289.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.52 : 385.74 = 193.26 : x
  2. Step 2: Convert to fraction form
    257.52/385.74 = 193.26/x
  3. Step 3: Cross multiply
    257.52x = 385.74 × 193.26
  4. Step 4: Simplify right side
    257.52x = 74,548.11
  5. Step 5: Solve for x
    x = 74,548.11/257.52
  6. Step 6: Final answer
    x = 289.48

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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.