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Finding the Fourth Proportional to 380.11, 568.96 and 206.53

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Solution

The fourth proportional to 380.11, 568.96 and 206.53 is: 309.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.11 : 568.96 = 206.53 : x
  2. Step 2: Convert to fraction form
    380.11/568.96 = 206.53/x
  3. Step 3: Cross multiply
    380.11x = 568.96 × 206.53
  4. Step 4: Simplify right side
    380.11x = 117,507.31
  5. Step 5: Solve for x
    x = 117,507.31/380.11
  6. Step 6: Final answer
    x = 309.14

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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.