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Finding the Fourth Proportional to 436.18, 654.27 and 179.54

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Solution

The fourth proportional to 436.18, 654.27 and 179.54 is: 269.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.18 : 654.27 = 179.54 : x
  2. Step 2: Convert to fraction form
    436.18/654.27 = 179.54/x
  3. Step 3: Cross multiply
    436.18x = 654.27 × 179.54
  4. Step 4: Simplify right side
    436.18x = 117,467.64
  5. Step 5: Solve for x
    x = 117,467.64/436.18
  6. Step 6: Final answer
    x = 269.31

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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.