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Finding the Fourth Proportional to 334.10, 500.34 and 189.20

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Solution

The fourth proportional to 334.10, 500.34 and 189.20 is: 283.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.10 : 500.34 = 189.20 : x
  2. Step 2: Convert to fraction form
    334.10/500.34 = 189.20/x
  3. Step 3: Cross multiply
    334.10x = 500.34 × 189.20
  4. Step 4: Simplify right side
    334.10x = 94,664.33
  5. Step 5: Solve for x
    x = 94,664.33/334.10
  6. Step 6: Final answer
    x = 283.34

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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.