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Finding the Fourth Proportional to 397.48, 596.25 and 137.51

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Solution

The fourth proportional to 397.48, 596.25 and 137.51 is: 206.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.48 : 596.25 = 137.51 : x
  2. Step 2: Convert to fraction form
    397.48/596.25 = 137.51/x
  3. Step 3: Cross multiply
    397.48x = 596.25 × 137.51
  4. Step 4: Simplify right side
    397.48x = 81,987.36
  5. Step 5: Solve for x
    x = 81,987.36/397.48
  6. Step 6: Final answer
    x = 206.27

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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.