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Finding the Fourth Proportional to 505.36, 757.76 and 158.54

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Solution

The fourth proportional to 505.36, 757.76 and 158.54 is: 237.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.36 : 757.76 = 158.54 : x
  2. Step 2: Convert to fraction form
    505.36/757.76 = 158.54/x
  3. Step 3: Cross multiply
    505.36x = 757.76 × 158.54
  4. Step 4: Simplify right side
    505.36x = 120,135.27
  5. Step 5: Solve for x
    x = 120,135.27/505.36
  6. Step 6: Final answer
    x = 237.72

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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.