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Finding the Fourth Proportional to 235.91, 354.02 and 120.44

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Solution

The fourth proportional to 235.91, 354.02 and 120.44 is: 180.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.91 : 354.02 = 120.44 : x
  2. Step 2: Convert to fraction form
    235.91/354.02 = 120.44/x
  3. Step 3: Cross multiply
    235.91x = 354.02 × 120.44
  4. Step 4: Simplify right side
    235.91x = 42,638.45
  5. Step 5: Solve for x
    x = 42,638.45/235.91
  6. Step 6: Final answer
    x = 180.74

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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.