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Finding the Fourth Proportional to 209.84, 289.39 and 131.16

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Solution

The fourth proportional to 209.84, 289.39 and 131.16 is: 180.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.84 : 289.39 = 131.16 : x
  2. Step 2: Convert to fraction form
    209.84/289.39 = 131.16/x
  3. Step 3: Cross multiply
    209.84x = 289.39 × 131.16
  4. Step 4: Simplify right side
    209.84x = 37,955.74
  5. Step 5: Solve for x
    x = 37,955.74/209.84
  6. Step 6: Final answer
    x = 180.88

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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.