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Finding the Fourth Proportional to 383.41, 575.13 and 109.47

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Solution

The fourth proportional to 383.41, 575.13 and 109.47 is: 164.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.41 : 575.13 = 109.47 : x
  2. Step 2: Convert to fraction form
    383.41/575.13 = 109.47/x
  3. Step 3: Cross multiply
    383.41x = 575.13 × 109.47
  4. Step 4: Simplify right side
    383.41x = 62,962.05
  5. Step 5: Solve for x
    x = 62,962.05/383.41
  6. Step 6: Final answer
    x = 164.22

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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.