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Finding the Fourth Proportional to 336.30, 464.09 and 188.94

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Solution

The fourth proportional to 336.30, 464.09 and 188.94 is: 260.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.30 : 464.09 = 188.94 : x
  2. Step 2: Convert to fraction form
    336.30/464.09 = 188.94/x
  3. Step 3: Cross multiply
    336.30x = 464.09 × 188.94
  4. Step 4: Simplify right side
    336.30x = 87,684.22
  5. Step 5: Solve for x
    x = 87,684.22/336.30
  6. Step 6: Final answer
    x = 260.73

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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.