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Finding the Fourth Proportional to 334.09, 501.13 and 189.91

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Solution

The fourth proportional to 334.09, 501.13 and 189.91 is: 284.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.09 : 501.13 = 189.91 : x
  2. Step 2: Convert to fraction form
    334.09/501.13 = 189.91/x
  3. Step 3: Cross multiply
    334.09x = 501.13 × 189.91
  4. Step 4: Simplify right side
    334.09x = 95,167.09
  5. Step 5: Solve for x
    x = 95,167.09/334.09
  6. Step 6: Final answer
    x = 284.86

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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.