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Finding the Fourth Proportional to 253.40, 380.09 and 238.37

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Solution

The fourth proportional to 253.40, 380.09 and 238.37 is: 357.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.40 : 380.09 = 238.37 : x
  2. Step 2: Convert to fraction form
    253.40/380.09 = 238.37/x
  3. Step 3: Cross multiply
    253.40x = 380.09 × 238.37
  4. Step 4: Simplify right side
    253.40x = 90,598.96
  5. Step 5: Solve for x
    x = 90,598.96/253.40
  6. Step 6: Final answer
    x = 357.54

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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.