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Finding the Fourth Proportional to 336.11, 463.78 and 186.71

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Solution

The fourth proportional to 336.11, 463.78 and 186.71 is: 257.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.11 : 463.78 = 186.71 : x
  2. Step 2: Convert to fraction form
    336.11/463.78 = 186.71/x
  3. Step 3: Cross multiply
    336.11x = 463.78 × 186.71
  4. Step 4: Simplify right side
    336.11x = 86,592.36
  5. Step 5: Solve for x
    x = 86,592.36/336.11
  6. Step 6: Final answer
    x = 257.63

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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.