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Finding the Fourth Proportional to 333.63, 500.42 and 141.26

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Solution

The fourth proportional to 333.63, 500.42 and 141.26 is: 211.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.63 : 500.42 = 141.26 : x
  2. Step 2: Convert to fraction form
    333.63/500.42 = 141.26/x
  3. Step 3: Cross multiply
    333.63x = 500.42 × 141.26
  4. Step 4: Simplify right side
    333.63x = 70,687.18
  5. Step 5: Solve for x
    x = 70,687.18/333.63
  6. Step 6: Final answer
    x = 211.87

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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.