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Finding the Fourth Proportional to 209.62, 314.56 and 193.08

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Solution

The fourth proportional to 209.62, 314.56 and 193.08 is: 289.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.62 : 314.56 = 193.08 : x
  2. Step 2: Convert to fraction form
    209.62/314.56 = 193.08/x
  3. Step 3: Cross multiply
    209.62x = 314.56 × 193.08
  4. Step 4: Simplify right side
    209.62x = 60,735.24
  5. Step 5: Solve for x
    x = 60,735.24/209.62
  6. Step 6: Final answer
    x = 289.74

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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.