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Finding the Fourth Proportional to 209.96, 314.58 and 137.72

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Solution

The fourth proportional to 209.96, 314.58 and 137.72 is: 206.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.96 : 314.58 = 137.72 : x
  2. Step 2: Convert to fraction form
    209.96/314.58 = 137.72/x
  3. Step 3: Cross multiply
    209.96x = 314.58 × 137.72
  4. Step 4: Simplify right side
    209.96x = 43,323.96
  5. Step 5: Solve for x
    x = 43,323.96/209.96
  6. Step 6: Final answer
    x = 206.34

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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.