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Finding the Fourth Proportional to 275.27, 412.92 and 178.88

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Solution

The fourth proportional to 275.27, 412.92 and 178.88 is: 268.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.27 : 412.92 = 178.88 : x
  2. Step 2: Convert to fraction form
    275.27/412.92 = 178.88/x
  3. Step 3: Cross multiply
    275.27x = 412.92 × 178.88
  4. Step 4: Simplify right side
    275.27x = 73,861.07
  5. Step 5: Solve for x
    x = 73,861.07/275.27
  6. Step 6: Final answer
    x = 268.33

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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.