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Finding the Fourth Proportional to 335.99, 504.09 and 141.08

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Solution

The fourth proportional to 335.99, 504.09 and 141.08 is: 211.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.99 : 504.09 = 141.08 : x
  2. Step 2: Convert to fraction form
    335.99/504.09 = 141.08/x
  3. Step 3: Cross multiply
    335.99x = 504.09 × 141.08
  4. Step 4: Simplify right side
    335.99x = 71,114.50
  5. Step 5: Solve for x
    x = 71,114.50/335.99
  6. Step 6: Final answer
    x = 211.66

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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.