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Finding the Fourth Proportional to 383.47, 575.13 and 109.49

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Solution

The fourth proportional to 383.47, 575.13 and 109.49 is: 164.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.47 : 575.13 = 109.49 : x
  2. Step 2: Convert to fraction form
    383.47/575.13 = 109.49/x
  3. Step 3: Cross multiply
    383.47x = 575.13 × 109.49
  4. Step 4: Simplify right side
    383.47x = 62,970.98
  5. Step 5: Solve for x
    x = 62,970.98/383.47
  6. Step 6: Final answer
    x = 164.21

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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.