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Finding the Fourth Proportional to 140.93, 209.94 and 138.64

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Solution

The fourth proportional to 140.93, 209.94 and 138.64 is: 206.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.93 : 209.94 = 138.64 : x
  2. Step 2: Convert to fraction form
    140.93/209.94 = 138.64/x
  3. Step 3: Cross multiply
    140.93x = 209.94 × 138.64
  4. Step 4: Simplify right side
    140.93x = 29,106.08
  5. Step 5: Solve for x
    x = 29,106.08/140.93
  6. Step 6: Final answer
    x = 206.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.