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Finding the Fourth Proportional to 502.44, 753.65 and 137.23

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Solution

The fourth proportional to 502.44, 753.65 and 137.23 is: 205.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.44 : 753.65 = 137.23 : x
  2. Step 2: Convert to fraction form
    502.44/753.65 = 137.23/x
  3. Step 3: Cross multiply
    502.44x = 753.65 × 137.23
  4. Step 4: Simplify right side
    502.44x = 103,421.33
  5. Step 5: Solve for x
    x = 103,421.33/502.44
  6. Step 6: Final answer
    x = 205.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.