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Finding the Fourth Proportional to 505.38, 758.10 and 180.75

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Solution

The fourth proportional to 505.38, 758.10 and 180.75 is: 271.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.38 : 758.10 = 180.75 : x
  2. Step 2: Convert to fraction form
    505.38/758.10 = 180.75/x
  3. Step 3: Cross multiply
    505.38x = 758.10 × 180.75
  4. Step 4: Simplify right side
    505.38x = 137,026.58
  5. Step 5: Solve for x
    x = 137,026.58/505.38
  6. Step 6: Final answer
    x = 271.14

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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.