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Finding the Fourth Proportional to 471.20, 706.88 and 146.56

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Solution

The fourth proportional to 471.20, 706.88 and 146.56 is: 219.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.20 : 706.88 = 146.56 : x
  2. Step 2: Convert to fraction form
    471.20/706.88 = 146.56/x
  3. Step 3: Cross multiply
    471.20x = 706.88 × 146.56
  4. Step 4: Simplify right side
    471.20x = 103,600.33
  5. Step 5: Solve for x
    x = 103,600.33/471.20
  6. Step 6: Final answer
    x = 219.86

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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.