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Finding the Fourth Proportional to 436.78, 655.21 and 112.15

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Solution

The fourth proportional to 436.78, 655.21 and 112.15 is: 168.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.78 : 655.21 = 112.15 : x
  2. Step 2: Convert to fraction form
    436.78/655.21 = 112.15/x
  3. Step 3: Cross multiply
    436.78x = 655.21 × 112.15
  4. Step 4: Simplify right side
    436.78x = 73,477.96
  5. Step 5: Solve for x
    x = 73,477.96/436.78
  6. Step 6: Final answer
    x = 168.23

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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.