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Finding the Fourth Proportional to 275.22, 412.68 and 112.77

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Solution

The fourth proportional to 275.22, 412.68 and 112.77 is: 169.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.22 : 412.68 = 112.77 : x
  2. Step 2: Convert to fraction form
    275.22/412.68 = 112.77/x
  3. Step 3: Cross multiply
    275.22x = 412.68 × 112.77
  4. Step 4: Simplify right side
    275.22x = 46,537.92
  5. Step 5: Solve for x
    x = 46,537.92/275.22
  6. Step 6: Final answer
    x = 169.09

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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.