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Finding the Fourth Proportional to 209.71, 289.40 and 126.86

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Solution

The fourth proportional to 209.71, 289.40 and 126.86 is: 175.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.71 : 289.40 = 126.86 : x
  2. Step 2: Convert to fraction form
    209.71/289.40 = 126.86/x
  3. Step 3: Cross multiply
    209.71x = 289.40 × 126.86
  4. Step 4: Simplify right side
    209.71x = 36,713.37
  5. Step 5: Solve for x
    x = 36,713.37/209.71
  6. Step 6: Final answer
    x = 175.07

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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.