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Finding the Fourth Proportional to 505.21, 757.86 and 180.58

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Solution

The fourth proportional to 505.21, 757.86 and 180.58 is: 270.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.21 : 757.86 = 180.58 : x
  2. Step 2: Convert to fraction form
    505.21/757.86 = 180.58/x
  3. Step 3: Cross multiply
    505.21x = 757.86 × 180.58
  4. Step 4: Simplify right side
    505.21x = 136,851.56
  5. Step 5: Solve for x
    x = 136,851.56/505.21
  6. Step 6: Final answer
    x = 270.88

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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.