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Finding the Fourth Proportional to 382.71, 574.14 and 122.64

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Solution

The fourth proportional to 382.71, 574.14 and 122.64 is: 183.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.71 : 574.14 = 122.64 : x
  2. Step 2: Convert to fraction form
    382.71/574.14 = 122.64/x
  3. Step 3: Cross multiply
    382.71x = 574.14 × 122.64
  4. Step 4: Simplify right side
    382.71x = 70,412.53
  5. Step 5: Solve for x
    x = 70,412.53/382.71
  6. Step 6: Final answer
    x = 183.98

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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.