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Finding the Fourth Proportional to 351.93, 527.49 and 189.57

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Solution

The fourth proportional to 351.93, 527.49 and 189.57 is: 284.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.93 : 527.49 = 189.57 : x
  2. Step 2: Convert to fraction form
    351.93/527.49 = 189.57/x
  3. Step 3: Cross multiply
    351.93x = 527.49 × 189.57
  4. Step 4: Simplify right side
    351.93x = 99,996.28
  5. Step 5: Solve for x
    x = 99,996.28/351.93
  6. Step 6: Final answer
    x = 284.14

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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.