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Finding the Fourth Proportional to 336.83, 464.84 and 189.47

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Solution

The fourth proportional to 336.83, 464.84 and 189.47 is: 261.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.83 : 464.84 = 189.47 : x
  2. Step 2: Convert to fraction form
    336.83/464.84 = 189.47/x
  3. Step 3: Cross multiply
    336.83x = 464.84 × 189.47
  4. Step 4: Simplify right side
    336.83x = 88,074.16
  5. Step 5: Solve for x
    x = 88,074.16/336.83
  6. Step 6: Final answer
    x = 261.48

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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.