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Finding the Fourth Proportional to 308.51, 463.44 and 186.85

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Solution

The fourth proportional to 308.51, 463.44 and 186.85 is: 280.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.51 : 463.44 = 186.85 : x
  2. Step 2: Convert to fraction form
    308.51/463.44 = 186.85/x
  3. Step 3: Cross multiply
    308.51x = 463.44 × 186.85
  4. Step 4: Simplify right side
    308.51x = 86,593.76
  5. Step 5: Solve for x
    x = 86,593.76/308.51
  6. Step 6: Final answer
    x = 280.68

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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.