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Finding the Fourth Proportional to 209.91, 289.82 and 135.35

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Solution

The fourth proportional to 209.91, 289.82 and 135.35 is: 186.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.91 : 289.82 = 135.35 : x
  2. Step 2: Convert to fraction form
    209.91/289.82 = 135.35/x
  3. Step 3: Cross multiply
    209.91x = 289.82 × 135.35
  4. Step 4: Simplify right side
    209.91x = 39,225.01
  5. Step 5: Solve for x
    x = 39,225.01/209.91
  6. Step 6: Final answer
    x = 186.87

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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.