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Finding the Fourth Proportional to 209, 288.42 and 130.40

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Solution

The fourth proportional to 209, 288.42 and 130.40 is: 179.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    209 : 288.42 = 130.40 : x
  2. Step 2: Convert to fraction form
    209/288.42 = 130.40/x
  3. Step 3: Cross multiply
    209x = 288.42 × 130.40
  4. Step 4: Simplify right side
    209x = 37,609.97
  5. Step 5: Solve for x
    x = 37,609.97/209
  6. Step 6: Final answer
    x = 179.95

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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.