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Finding the Fourth Proportional to 309.71, 463.82 and 200.90

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Solution

The fourth proportional to 309.71, 463.82 and 200.90 is: 300.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.71 : 463.82 = 200.90 : x
  2. Step 2: Convert to fraction form
    309.71/463.82 = 200.90/x
  3. Step 3: Cross multiply
    309.71x = 463.82 × 200.90
  4. Step 4: Simplify right side
    309.71x = 93,178.11
  5. Step 5: Solve for x
    x = 93,178.11/309.71
  6. Step 6: Final answer
    x = 300.86

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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.