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Finding the Fourth Proportional to 333.82, 500.34 and 189.64

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Solution

The fourth proportional to 333.82, 500.34 and 189.64 is: 284.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.82 : 500.34 = 189.64 : x
  2. Step 2: Convert to fraction form
    333.82/500.34 = 189.64/x
  3. Step 3: Cross multiply
    333.82x = 500.34 × 189.64
  4. Step 4: Simplify right side
    333.82x = 94,884.48
  5. Step 5: Solve for x
    x = 94,884.48/333.82
  6. Step 6: Final answer
    x = 284.24

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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.