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Finding the Fourth Proportional to 351.75, 527.16 and 189.24

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Solution

The fourth proportional to 351.75, 527.16 and 189.24 is: 283.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.75 : 527.16 = 189.24 : x
  2. Step 2: Convert to fraction form
    351.75/527.16 = 189.24/x
  3. Step 3: Cross multiply
    351.75x = 527.16 × 189.24
  4. Step 4: Simplify right side
    351.75x = 99,760.47
  5. Step 5: Solve for x
    x = 99,760.47/351.75
  6. Step 6: Final answer
    x = 283.61

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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.