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Finding the Fourth Proportional to 257.86, 385.94 and 189.36

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Solution

The fourth proportional to 257.86, 385.94 and 189.36 is: 283.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.86 : 385.94 = 189.36 : x
  2. Step 2: Convert to fraction form
    257.86/385.94 = 189.36/x
  3. Step 3: Cross multiply
    257.86x = 385.94 × 189.36
  4. Step 4: Simplify right side
    257.86x = 73,081.60
  5. Step 5: Solve for x
    x = 73,081.60/257.86
  6. Step 6: Final answer
    x = 283.42

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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.