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Finding the Fourth Proportional to 208.80, 288.09 and 130.14

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Solution

The fourth proportional to 208.80, 288.09 and 130.14 is: 179.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.80 : 288.09 = 130.14 : x
  2. Step 2: Convert to fraction form
    208.80/288.09 = 130.14/x
  3. Step 3: Cross multiply
    208.80x = 288.09 × 130.14
  4. Step 4: Simplify right side
    208.80x = 37,492.03
  5. Step 5: Solve for x
    x = 37,492.03/208.80
  6. Step 6: Final answer
    x = 179.56

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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.