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Finding the Fourth Proportional to 505.56, 757.86 and 180.84

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Solution

The fourth proportional to 505.56, 757.86 and 180.84 is: 271.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.56 : 757.86 = 180.84 : x
  2. Step 2: Convert to fraction form
    505.56/757.86 = 180.84/x
  3. Step 3: Cross multiply
    505.56x = 757.86 × 180.84
  4. Step 4: Simplify right side
    505.56x = 137,051.40
  5. Step 5: Solve for x
    x = 137,051.40/505.56
  6. Step 6: Final answer
    x = 271.09

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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.