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Finding the Fourth Proportional to 263.96, 364.14 and 169.48

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Solution

The fourth proportional to 263.96, 364.14 and 169.48 is: 233.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.96 : 364.14 = 169.48 : x
  2. Step 2: Convert to fraction form
    263.96/364.14 = 169.48/x
  3. Step 3: Cross multiply
    263.96x = 364.14 × 169.48
  4. Step 4: Simplify right side
    263.96x = 61,714.45
  5. Step 5: Solve for x
    x = 61,714.45/263.96
  6. Step 6: Final answer
    x = 233.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.