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Finding the Fourth Proportional to 502.64, 754.02 and 194.75

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Solution

The fourth proportional to 502.64, 754.02 and 194.75 is: 292.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.64 : 754.02 = 194.75 : x
  2. Step 2: Convert to fraction form
    502.64/754.02 = 194.75/x
  3. Step 3: Cross multiply
    502.64x = 754.02 × 194.75
  4. Step 4: Simplify right side
    502.64x = 146,845.40
  5. Step 5: Solve for x
    x = 146,845.40/502.64
  6. Step 6: Final answer
    x = 292.15

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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.