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Finding the Fourth Proportional to 176.29, 263.13 and 161.86

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Solution

The fourth proportional to 176.29, 263.13 and 161.86 is: 241.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.29 : 263.13 = 161.86 : x
  2. Step 2: Convert to fraction form
    176.29/263.13 = 161.86/x
  3. Step 3: Cross multiply
    176.29x = 263.13 × 161.86
  4. Step 4: Simplify right side
    176.29x = 42,590.22
  5. Step 5: Solve for x
    x = 42,590.22/176.29
  6. Step 6: Final answer
    x = 241.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.