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Finding the Fourth Proportional to 206.43, 309.14 and 189.53

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Solution

The fourth proportional to 206.43, 309.14 and 189.53 is: 283.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.43 : 309.14 = 189.53 : x
  2. Step 2: Convert to fraction form
    206.43/309.14 = 189.53/x
  3. Step 3: Cross multiply
    206.43x = 309.14 × 189.53
  4. Step 4: Simplify right side
    206.43x = 58,588.81
  5. Step 5: Solve for x
    x = 58,588.81/206.43
  6. Step 6: Final answer
    x = 283.82

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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.