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Finding the Fourth Proportional to 550.93, 826.26 and 160.93

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Solution

The fourth proportional to 550.93, 826.26 and 160.93 is: 241.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.93 : 826.26 = 160.93 : x
  2. Step 2: Convert to fraction form
    550.93/826.26 = 160.93/x
  3. Step 3: Cross multiply
    550.93x = 826.26 × 160.93
  4. Step 4: Simplify right side
    550.93x = 132,965.89
  5. Step 5: Solve for x
    x = 132,965.89/550.93
  6. Step 6: Final answer
    x = 241.35

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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.