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Finding the Fourth Proportional to 517.12, 775.60 and 146.96

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Solution

The fourth proportional to 517.12, 775.60 and 146.96 is: 220.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.12 : 775.60 = 146.96 : x
  2. Step 2: Convert to fraction form
    517.12/775.60 = 146.96/x
  3. Step 3: Cross multiply
    517.12x = 775.60 × 146.96
  4. Step 4: Simplify right side
    517.12x = 113,982.18
  5. Step 5: Solve for x
    x = 113,982.18/517.12
  6. Step 6: Final answer
    x = 220.42

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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.