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Finding the Fourth Proportional to 383.62, 575.22 and 120

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Solution

The fourth proportional to 383.62, 575.22 and 120 is: 179.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.62 : 575.22 = 120 : x
  2. Step 2: Convert to fraction form
    383.62/575.22 = 120/x
  3. Step 3: Cross multiply
    383.62x = 575.22 × 120
  4. Step 4: Simplify right side
    383.62x = 69,026.40
  5. Step 5: Solve for x
    x = 69,026.40/383.62
  6. Step 6: Final answer
    x = 179.93

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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.