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Finding the Fourth Proportional to 350.46, 525.50 and 144.96

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Solution

The fourth proportional to 350.46, 525.50 and 144.96 is: 217.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.46 : 525.50 = 144.96 : x
  2. Step 2: Convert to fraction form
    350.46/525.50 = 144.96/x
  3. Step 3: Cross multiply
    350.46x = 525.50 × 144.96
  4. Step 4: Simplify right side
    350.46x = 76,176.48
  5. Step 5: Solve for x
    x = 76,176.48/350.46
  6. Step 6: Final answer
    x = 217.36

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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.