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Finding the Fourth Proportional to 209.53, 289.05 and 126.58

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Solution

The fourth proportional to 209.53, 289.05 and 126.58 is: 174.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.53 : 289.05 = 126.58 : x
  2. Step 2: Convert to fraction form
    209.53/289.05 = 126.58/x
  3. Step 3: Cross multiply
    209.53x = 289.05 × 126.58
  4. Step 4: Simplify right side
    209.53x = 36,587.95
  5. Step 5: Solve for x
    x = 36,587.95/209.53
  6. Step 6: Final answer
    x = 174.62

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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.