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Finding the Fourth Proportional to 334.24, 500.67 and 189.64

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Solution

The fourth proportional to 334.24, 500.67 and 189.64 is: 284.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.24 : 500.67 = 189.64 : x
  2. Step 2: Convert to fraction form
    334.24/500.67 = 189.64/x
  3. Step 3: Cross multiply
    334.24x = 500.67 × 189.64
  4. Step 4: Simplify right side
    334.24x = 94,947.06
  5. Step 5: Solve for x
    x = 94,947.06/334.24
  6. Step 6: Final answer
    x = 284.07

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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.