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Finding the Fourth Proportional to 505.38, 757.84 and 180.66

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Solution

The fourth proportional to 505.38, 757.84 and 180.66 is: 270.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.38 : 757.84 = 180.66 : x
  2. Step 2: Convert to fraction form
    505.38/757.84 = 180.66/x
  3. Step 3: Cross multiply
    505.38x = 757.84 × 180.66
  4. Step 4: Simplify right side
    505.38x = 136,911.37
  5. Step 5: Solve for x
    x = 136,911.37/505.38
  6. Step 6: Final answer
    x = 270.91

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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.