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Finding the Fourth Proportional to 505.52, 758.21 and 180.84

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Solution

The fourth proportional to 505.52, 758.21 and 180.84 is: 271.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.52 : 758.21 = 180.84 : x
  2. Step 2: Convert to fraction form
    505.52/758.21 = 180.84/x
  3. Step 3: Cross multiply
    505.52x = 758.21 × 180.84
  4. Step 4: Simplify right side
    505.52x = 137,116.64
  5. Step 5: Solve for x
    x = 137,116.64/505.52
  6. Step 6: Final answer
    x = 271.24

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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.