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Finding the Fourth Proportional to 336.40, 464.13 and 189.01

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Solution

The fourth proportional to 336.40, 464.13 and 189.01 is: 260.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.40 : 464.13 = 189.01 : x
  2. Step 2: Convert to fraction form
    336.40/464.13 = 189.01/x
  3. Step 3: Cross multiply
    336.40x = 464.13 × 189.01
  4. Step 4: Simplify right side
    336.40x = 87,725.21
  5. Step 5: Solve for x
    x = 87,725.21/336.40
  6. Step 6: Final answer
    x = 260.78

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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.