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Finding the Fourth Proportional to 471.25, 706.96 and 146.54

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Solution

The fourth proportional to 471.25, 706.96 and 146.54 is: 219.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.25 : 706.96 = 146.54 : x
  2. Step 2: Convert to fraction form
    471.25/706.96 = 146.54/x
  3. Step 3: Cross multiply
    471.25x = 706.96 × 146.54
  4. Step 4: Simplify right side
    471.25x = 103,594.38
  5. Step 5: Solve for x
    x = 103,594.38/471.25
  6. Step 6: Final answer
    x = 219.83

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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.