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Finding the Fourth Proportional to 308.04, 424.97 and 189.99

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Solution

The fourth proportional to 308.04, 424.97 and 189.99 is: 262.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.04 : 424.97 = 189.99 : x
  2. Step 2: Convert to fraction form
    308.04/424.97 = 189.99/x
  3. Step 3: Cross multiply
    308.04x = 424.97 × 189.99
  4. Step 4: Simplify right side
    308.04x = 80,740.05
  5. Step 5: Solve for x
    x = 80,740.05/308.04
  6. Step 6: Final answer
    x = 262.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.