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Finding the Fourth Proportional to 263.83, 364.22 and 176.96

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Solution

The fourth proportional to 263.83, 364.22 and 176.96 is: 244.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.83 : 364.22 = 176.96 : x
  2. Step 2: Convert to fraction form
    263.83/364.22 = 176.96/x
  3. Step 3: Cross multiply
    263.83x = 364.22 × 176.96
  4. Step 4: Simplify right side
    263.83x = 64,452.37
  5. Step 5: Solve for x
    x = 64,452.37/263.83
  6. Step 6: Final answer
    x = 244.30

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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.