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Finding the Fourth Proportional to 397.53, 596.15 and 137.46

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Solution

The fourth proportional to 397.53, 596.15 and 137.46 is: 206.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.53 : 596.15 = 137.46 : x
  2. Step 2: Convert to fraction form
    397.53/596.15 = 137.46/x
  3. Step 3: Cross multiply
    397.53x = 596.15 × 137.46
  4. Step 4: Simplify right side
    397.53x = 81,948.84
  5. Step 5: Solve for x
    x = 81,948.84/397.53
  6. Step 6: Final answer
    x = 206.15

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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.