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Finding the Fourth Proportional to 334.96, 502.54 and 190.78

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Solution

The fourth proportional to 334.96, 502.54 and 190.78 is: 286.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.96 : 502.54 = 190.78 : x
  2. Step 2: Convert to fraction form
    334.96/502.54 = 190.78/x
  3. Step 3: Cross multiply
    334.96x = 502.54 × 190.78
  4. Step 4: Simplify right side
    334.96x = 95,874.58
  5. Step 5: Solve for x
    x = 95,874.58/334.96
  6. Step 6: Final answer
    x = 286.23

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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.