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Finding the Fourth Proportional to 474.26, 711.42 and 149.54

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Solution

The fourth proportional to 474.26, 711.42 and 149.54 is: 224.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.26 : 711.42 = 149.54 : x
  2. Step 2: Convert to fraction form
    474.26/711.42 = 149.54/x
  3. Step 3: Cross multiply
    474.26x = 711.42 × 149.54
  4. Step 4: Simplify right side
    474.26x = 106,385.75
  5. Step 5: Solve for x
    x = 106,385.75/474.26
  6. Step 6: Final answer
    x = 224.32

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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.