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Finding the Fourth Proportional to 308.74, 463.10 and 206.22

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Solution

The fourth proportional to 308.74, 463.10 and 206.22 is: 309.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.74 : 463.10 = 206.22 : x
  2. Step 2: Convert to fraction form
    308.74/463.10 = 206.22/x
  3. Step 3: Cross multiply
    308.74x = 463.10 × 206.22
  4. Step 4: Simplify right side
    308.74x = 95,501.00
  5. Step 5: Solve for x
    x = 95,501.00/308.74
  6. Step 6: Final answer
    x = 309.33

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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.