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Finding the Fourth Proportional to 504.15, 756.22 and 179.54

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Solution

The fourth proportional to 504.15, 756.22 and 179.54 is: 269.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.15 : 756.22 = 179.54 : x
  2. Step 2: Convert to fraction form
    504.15/756.22 = 179.54/x
  3. Step 3: Cross multiply
    504.15x = 756.22 × 179.54
  4. Step 4: Simplify right side
    504.15x = 135,771.74
  5. Step 5: Solve for x
    x = 135,771.74/504.15
  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.