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Finding the Fourth Proportional to 209.47, 289.02 and 134.79

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Solution

The fourth proportional to 209.47, 289.02 and 134.79 is: 185.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.47 : 289.02 = 134.79 : x
  2. Step 2: Convert to fraction form
    209.47/289.02 = 134.79/x
  3. Step 3: Cross multiply
    209.47x = 289.02 × 134.79
  4. Step 4: Simplify right side
    209.47x = 38,958.32
  5. Step 5: Solve for x
    x = 38,958.32/209.47
  6. Step 6: Final answer
    x = 185.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.