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Finding the Fourth Proportional to 471.20, 706.96 and 146.66

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Solution

The fourth proportional to 471.20, 706.96 and 146.66 is: 220.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.20 : 706.96 = 146.66 : x
  2. Step 2: Convert to fraction form
    471.20/706.96 = 146.66/x
  3. Step 3: Cross multiply
    471.20x = 706.96 × 146.66
  4. Step 4: Simplify right side
    471.20x = 103,682.75
  5. Step 5: Solve for x
    x = 103,682.75/471.20
  6. Step 6: Final answer
    x = 220.04

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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.