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Finding the Fourth Proportional to 436.94, 655.16 and 169.66

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Solution

The fourth proportional to 436.94, 655.16 and 169.66 is: 254.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.94 : 655.16 = 169.66 : x
  2. Step 2: Convert to fraction form
    436.94/655.16 = 169.66/x
  3. Step 3: Cross multiply
    436.94x = 655.16 × 169.66
  4. Step 4: Simplify right side
    436.94x = 111,154.45
  5. Step 5: Solve for x
    x = 111,154.45/436.94
  6. Step 6: Final answer
    x = 254.39

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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.