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Finding the Fourth Proportional to 351.53, 527.29 and 120.31

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Solution

The fourth proportional to 351.53, 527.29 and 120.31 is: 180.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.53 : 527.29 = 120.31 : x
  2. Step 2: Convert to fraction form
    351.53/527.29 = 120.31/x
  3. Step 3: Cross multiply
    351.53x = 527.29 × 120.31
  4. Step 4: Simplify right side
    351.53x = 63,438.26
  5. Step 5: Solve for x
    x = 63,438.26/351.53
  6. Step 6: Final answer
    x = 180.46

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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.