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Finding the Fourth Proportional to 253.67, 380.05 and 138.04

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Solution

The fourth proportional to 253.67, 380.05 and 138.04 is: 206.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.67 : 380.05 = 138.04 : x
  2. Step 2: Convert to fraction form
    253.67/380.05 = 138.04/x
  3. Step 3: Cross multiply
    253.67x = 380.05 × 138.04
  4. Step 4: Simplify right side
    253.67x = 52,462.10
  5. Step 5: Solve for x
    x = 52,462.10/253.67
  6. Step 6: Final answer
    x = 206.81

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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.