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Finding the Fourth Proportional to 209.58, 314.31 and 137.82

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Solution

The fourth proportional to 209.58, 314.31 and 137.82 is: 206.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.58 : 314.31 = 137.82 : x
  2. Step 2: Convert to fraction form
    209.58/314.31 = 137.82/x
  3. Step 3: Cross multiply
    209.58x = 314.31 × 137.82
  4. Step 4: Simplify right side
    209.58x = 43,318.20
  5. Step 5: Solve for x
    x = 43,318.20/209.58
  6. Step 6: Final answer
    x = 206.69

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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.