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Finding the Fourth Proportional to 351.27, 526.97 and 120.19

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Solution

The fourth proportional to 351.27, 526.97 and 120.19 is: 180.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.27 : 526.97 = 120.19 : x
  2. Step 2: Convert to fraction form
    351.27/526.97 = 120.19/x
  3. Step 3: Cross multiply
    351.27x = 526.97 × 120.19
  4. Step 4: Simplify right side
    351.27x = 63,336.52
  5. Step 5: Solve for x
    x = 63,336.52/351.27
  6. Step 6: Final answer
    x = 180.31

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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.