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Finding the Fourth Proportional to 502.85, 754.27 and 137.63

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Solution

The fourth proportional to 502.85, 754.27 and 137.63 is: 206.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.85 : 754.27 = 137.63 : x
  2. Step 2: Convert to fraction form
    502.85/754.27 = 137.63/x
  3. Step 3: Cross multiply
    502.85x = 754.27 × 137.63
  4. Step 4: Simplify right side
    502.85x = 103,811.72
  5. Step 5: Solve for x
    x = 103,811.72/502.85
  6. Step 6: Final answer
    x = 206.45

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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.