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Finding the Fourth Proportional to 139.40, 209.10 and 137.60

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Solution

The fourth proportional to 139.40, 209.10 and 137.60 is: 206.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.40 : 209.10 = 137.60 : x
  2. Step 2: Convert to fraction form
    139.40/209.10 = 137.60/x
  3. Step 3: Cross multiply
    139.40x = 209.10 × 137.60
  4. Step 4: Simplify right side
    139.40x = 28,772.16
  5. Step 5: Solve for x
    x = 28,772.16/139.40
  6. Step 6: Final answer
    x = 206.40

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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.