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Finding the Fourth Proportional to 504.11, 756.20 and 179.48

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Solution

The fourth proportional to 504.11, 756.20 and 179.48 is: 269.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.11 : 756.20 = 179.48 : x
  2. Step 2: Convert to fraction form
    504.11/756.20 = 179.48/x
  3. Step 3: Cross multiply
    504.11x = 756.20 × 179.48
  4. Step 4: Simplify right side
    504.11x = 135,718.10
  5. Step 5: Solve for x
    x = 135,718.10/504.11
  6. Step 6: Final answer
    x = 269.23

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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.