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Finding the Fourth Proportional to 209.60, 314.40 and 137.78

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Solution

The fourth proportional to 209.60, 314.40 and 137.78 is: 206.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.60 : 314.40 = 137.78 : x
  2. Step 2: Convert to fraction form
    209.60/314.40 = 137.78/x
  3. Step 3: Cross multiply
    209.60x = 314.40 × 137.78
  4. Step 4: Simplify right side
    209.60x = 43,318.03
  5. Step 5: Solve for x
    x = 43,318.03/209.60
  6. Step 6: Final answer
    x = 206.67

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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.