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Finding the Fourth Proportional to 506.42, 759.79 and 164.66

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Solution

The fourth proportional to 506.42, 759.79 and 164.66 is: 247.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.42 : 759.79 = 164.66 : x
  2. Step 2: Convert to fraction form
    506.42/759.79 = 164.66/x
  3. Step 3: Cross multiply
    506.42x = 759.79 × 164.66
  4. Step 4: Simplify right side
    506.42x = 125,107.02
  5. Step 5: Solve for x
    x = 125,107.02/506.42
  6. Step 6: Final answer
    x = 247.04

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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.