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Finding the Fourth Proportional to 209.94, 289.83 and 147.96

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Solution

The fourth proportional to 209.94, 289.83 and 147.96 is: 204.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.94 : 289.83 = 147.96 : x
  2. Step 2: Convert to fraction form
    209.94/289.83 = 147.96/x
  3. Step 3: Cross multiply
    209.94x = 289.83 × 147.96
  4. Step 4: Simplify right side
    209.94x = 42,883.25
  5. Step 5: Solve for x
    x = 42,883.25/209.94
  6. Step 6: Final answer
    x = 204.26

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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.