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Finding the Fourth Proportional to 209.37, 289 and 130.74

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Solution

The fourth proportional to 209.37, 289 and 130.74 is: 180.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.37 : 289 = 130.74 : x
  2. Step 2: Convert to fraction form
    209.37/289 = 130.74/x
  3. Step 3: Cross multiply
    209.37x = 289 × 130.74
  4. Step 4: Simplify right side
    209.37x = 37,783.86
  5. Step 5: Solve for x
    x = 37,783.86/209.37
  6. Step 6: Final answer
    x = 180.46

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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.