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Finding the Fourth Proportional to 383.72, 575.64 and 140.22

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Solution

The fourth proportional to 383.72, 575.64 and 140.22 is: 210.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.72 : 575.64 = 140.22 : x
  2. Step 2: Convert to fraction form
    383.72/575.64 = 140.22/x
  3. Step 3: Cross multiply
    383.72x = 575.64 × 140.22
  4. Step 4: Simplify right side
    383.72x = 80,716.24
  5. Step 5: Solve for x
    x = 80,716.24/383.72
  6. Step 6: Final answer
    x = 210.35

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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.