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Finding the Fourth Proportional to 436.92, 655.22 and 176.86

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Solution

The fourth proportional to 436.92, 655.22 and 176.86 is: 265.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.92 : 655.22 = 176.86 : x
  2. Step 2: Convert to fraction form
    436.92/655.22 = 176.86/x
  3. Step 3: Cross multiply
    436.92x = 655.22 × 176.86
  4. Step 4: Simplify right side
    436.92x = 115,879.69
  5. Step 5: Solve for x
    x = 115,879.69/436.92
  6. Step 6: Final answer
    x = 265.22

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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.