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Finding the Fourth Proportional to 351.78, 527.67 and 108.35

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Solution

The fourth proportional to 351.78, 527.67 and 108.35 is: 162.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.78 : 527.67 = 108.35 : x
  2. Step 2: Convert to fraction form
    351.78/527.67 = 108.35/x
  3. Step 3: Cross multiply
    351.78x = 527.67 × 108.35
  4. Step 4: Simplify right side
    351.78x = 57,172.38
  5. Step 5: Solve for x
    x = 57,172.38/351.78
  6. Step 6: Final answer
    x = 162.52

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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.