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Finding the Fourth Proportional to 257, 385.31 and 83.57

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Solution

The fourth proportional to 257, 385.31 and 83.57 is: 125.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    257 : 385.31 = 83.57 : x
  2. Step 2: Convert to fraction form
    257/385.31 = 83.57/x
  3. Step 3: Cross multiply
    257x = 385.31 × 83.57
  4. Step 4: Simplify right side
    257x = 32,200.36
  5. Step 5: Solve for x
    x = 32,200.36/257
  6. Step 6: Final answer
    x = 125.29

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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.