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Finding the Fourth Proportional to 505.19, 757.57 and 158.44

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Solution

The fourth proportional to 505.19, 757.57 and 158.44 is: 237.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.19 : 757.57 = 158.44 : x
  2. Step 2: Convert to fraction form
    505.19/757.57 = 158.44/x
  3. Step 3: Cross multiply
    505.19x = 757.57 × 158.44
  4. Step 4: Simplify right side
    505.19x = 120,029.39
  5. Step 5: Solve for x
    x = 120,029.39/505.19
  6. Step 6: Final answer
    x = 237.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.