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Finding the Fourth Proportional to 138.48, 208.02 and 138.48

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Solution

The fourth proportional to 138.48, 208.02 and 138.48 is: 208.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.48 : 208.02 = 138.48 : x
  2. Step 2: Convert to fraction form
    138.48/208.02 = 138.48/x
  3. Step 3: Cross multiply
    138.48x = 208.02 × 138.48
  4. Step 4: Simplify right side
    138.48x = 28,806.61
  5. Step 5: Solve for x
    x = 28,806.61/138.48
  6. Step 6: Final answer
    x = 208.02

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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.