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Finding the Fourth Proportional to 333.78, 500.88 and 141.41

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Solution

The fourth proportional to 333.78, 500.88 and 141.41 is: 212.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.78 : 500.88 = 141.41 : x
  2. Step 2: Convert to fraction form
    333.78/500.88 = 141.41/x
  3. Step 3: Cross multiply
    333.78x = 500.88 × 141.41
  4. Step 4: Simplify right side
    333.78x = 70,826.23
  5. Step 5: Solve for x
    x = 70,826.23/333.78
  6. Step 6: Final answer
    x = 212.19

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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.