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Finding the Fourth Proportional to 208.53, 287.73 and 129.83

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Solution

The fourth proportional to 208.53, 287.73 and 129.83 is: 179.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.53 : 287.73 = 129.83 : x
  2. Step 2: Convert to fraction form
    208.53/287.73 = 129.83/x
  3. Step 3: Cross multiply
    208.53x = 287.73 × 129.83
  4. Step 4: Simplify right side
    208.53x = 37,354.55
  5. Step 5: Solve for x
    x = 37,354.55/208.53
  6. Step 6: Final answer
    x = 179.13

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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.