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Finding the Fourth Proportional to 209.85, 289.71 and 140.01

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Solution

The fourth proportional to 209.85, 289.71 and 140.01 is: 193.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.85 : 289.71 = 140.01 : x
  2. Step 2: Convert to fraction form
    209.85/289.71 = 140.01/x
  3. Step 3: Cross multiply
    209.85x = 289.71 × 140.01
  4. Step 4: Simplify right side
    209.85x = 40,561.21
  5. Step 5: Solve for x
    x = 40,561.21/209.85
  6. Step 6: Final answer
    x = 193.29

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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.